A Bibliography of Literature on Knots and Braids
Compiled by Joyce A. Riley
The Pennsylvania State University, The Graduate School
Department of Mathematics. Leonid N. Vaserstein - Advisor. March 1991
This bibliography contains most of the references contained
in the Mathematical Reviews. All Math. Review numbers with an *
after the number indicates the subject classification was knots,
links, or braids. Instead of a review number, some of the references have the
+ Current Math. Publications designation from the Silver Platter reference
+ system or the year and issue number from the Current Math. Publications.
+ This bibliography is not complete, but contains the majority of all the
+ articles with the knot designation in the Math. Reviews.
In addition, some of the articles or books have a number. This number
+ indicates that the article or book contains knots and/or braids within its
+ material. One can obtain most of the bibliographies on these articles or
+ books by checking the "cited by" section of each entry.
* indicates the article or book has one of the following designations:
Math. Review years
knots 1940-1957
knots, links 1958
57.20 contains higher dimensional knots 1959-1972
55.20 knots, links 1959-1972
57C45 knots, links high dimension 1973-1979
55A25 knots, links low dimension 1973-1979
57M25 knots, links low dimension 1980-1991 c
57Q45 knots, links high dimension 1980-1991 c
20F36 braid groups 1980-1991 c
Abbulat,S. and McCarthy,J.,"Lectures on Casson's
invariant", preprint. Cited by #91.
Abe, Kinetsu. "Some examples of non-regular almost contact
structures on exotic curves", To^hoku Math. J., (2) 28 (1976),
no. 3, 429-435.
MR. 54 #11227 *.
Abelson, Harold. "Fundamental groups of plane curve and
their duals", Indiana Univ. Math. J., 25 (1976), No. 1, 65-67.
Cited by #245.
MR. 53 #5603.
Abhyankar, Shreeram. "Tame coverings and fundamental
groups of algebraic varieties, V. Three cuspidal plane quartics",
Amer. J. Math., 82 (1960), 365-373. Cited by #245, #256, #260,
#263.
MR. 22 #1577.
Abhyankar, Shreeram and Tzuong-Tzieng Moh. "Embeddings
of the line in the plane", J. Reine Agnew. Math., 276 (1975),
148-166. Cited by #245.
MR. 52 #407.
Abhyankar,Shreera and Balwant Singh. "Embeddings of cer-
tain curves in the affine plane", Amer. J. Math., 100 (1978),
99-175. Cited by #245.
MR. 58 #16663.
A'Campo,N. "Sur la monodromie des singularities isolees
d'hypersurfaces complexes", Invent. Math. , 20 (1973), 147-169.
Cited by #92, #129, #172, #247, #249, #253, #263, #285.
MR. 49 #3201.
A'Campo, N. "Le nombre de Lefschetz d'une monodromie",
Indagationes Math., 35 (1973), 113-118. Cited by #92, #129,
#247, #253, #285.
MR. 47 #8903.
A'Campo, N. "Le groupe de monodromie du deploiement des
singularites isolees de courbes planes. II",Actes de Congres
Int. des Math. (Vancouver, 1974), 395-404. Cited by #92.
A'Campo, N. "Le groupe de monodromie du deploiement des
singularites isolees de courbes planes. I", Math. Ann., 213
(1975), 1-32. Cited by #244, #248.
A'Campo, N. "La fonction zeta d'une monodromie", Comment.
Math. Helv., 50 (1975),233-248. Cited by #92,#129,#253,
#285.
MR. 51 #8106.
A'Campo,N. "Le groupe de monodromie de deploiement des
singularites isolees de courbes planes. I",Math. Ann.,213
(1975), 1-32. Cited by #92, #253.
Ada'm, A., K. Culi'k, and G. Polla'k. "Ein Satz uber teilweise
gerichtete Graphen", Czechoslovak Math. J., 13 (88) (1963), 619-
621.
MR. 29 #2792 *.
Adams,C. "Thrice-punctures spheres in hyperbolic 3-mani-
folds", Trans. Amer. Math. Soc., (2) 287 (1985), 645-656. Cited
by #302.
MR. 86k #57008 *.
#302
Adams, C. "Augmented alternating link complements are
hyperbolic", in Low-dimensional Topology and Kleinian Groups
(Proc.,Warwick and Durham,1984),ed. D. B. A. Epstein,Cam-
bridge: Cambridge Univ. Press, 1986, 115-130.
MR. 89f #57003 *.
Adams, C. "The noncompact hyperbolic 3-manifold of minimal
volume", Proc. Amer. Math. Soc.,100 (1987), no. 4, 601-606.
MR. 88m #57018 *.
Adams, C. "Tangles and the Gromov invariant", Proc. Amer.
Math. Soc., 106 (1989), no. 1, 269-271.
MR. 89k #57004 *.
Adams,C. and M. Hildebrand. "Hyperbolic invariants of
knots and links", Trans. Amer. Math. Soc., to appear.
CMP-21-11[57M25]
Adams, J. F. "A new proof of a theorem of W. H. Cockcroft",
J. London Math. Soc., 39 (1955), 482-488. Cited by #147, #191.
Adams, J. F. "Vector fields on spheres", Ann. of Math.,
75 (1962), 603-632. Cited by #261.
Adams, J. F. "On the groups J(X). I", Topology, 2 (1963),
181-195. Cited by #190.
MR. 28 #2553.
Adams, J. F. "On the groups J(X). IV", Topology, 5 (1966).
Cited by #254.
Adian, S. I. The Burnside problem and identities in
groups, New York: Springer-Verlag, Ergebnisse der Mathematik,
Bd. 95, 1979. Cited by #220.
MR. 55 #5753.
Agoston, Max K. "Relative knots and tangential equiva-
lences", Trans. Amer. Math. Soc.,137 (1969), 27-52.
MR. 38 #6610 *.
Agoston, Max K. "A classification of immersed knots", Proc.
Amer. Math. Soc.,24 (1970), 710-715.
MR. 42 #3799 *.
Ahn, Seung Ho. "Existence theorems for slices and their
applications", Honam Math. J., 12 (1990), no. 1, 49-60.
CMP-1991-2[57]
Aitchison, I. R. "Jones polynomials and 3-manifolds",
Miniconference on Geometry and Physics (Canberra, 1989), Proc.
Centre Math. Anal. Austral. Nat. Univ., 22, Austral. Nat. Univ.,
Canberra, 1989, 18-49.
MR. 91a #57002 *.
Aitchison, I. R. and D. S. Silver. "On certain fibred rib-
bon disc pairs", Trans. Amer. Math. Soc., 306 (1988), 529-551.
Cited by #197.
MR. 89f #57004 *.
#200
Aitchison, I. R. and J. H. Rubinstein. "Fibered knots and
involutions on homotopy spheres", in Four-Manifold Theory (Proc.,
Durham, N.H., 1982), eds. Cameron Gordon and Robion Kirby,
Providence,R.I.: Amer. Math. Soc., Contempory Mathematics v. 35,
1984, 1-74. Cited by #197.
MR. 86h #57014 *.
Akbulut, S. "On two-dimensional homology classes of four-
manifolds", Math. Proc. Camb. Phil. Soc., 82 (1977), 99-106.
Cited by #122, #172, #191, #201.
MR. 55 #6452 *.
Akbulut, S. "On representing homology classes of 4-mani-
folds", Invent. Math., 49 (1978), no. 3, 193-198.
MR. 58 #24278 *.
#201
Akbulut, S. "A fake 4-manifold", in Four-Manifold Theory,
(Proc., Durham, N.H., 1982), eds. Cameron Gordon and Robion Kirby,
Providence,R.I.: Amer. Math. Soc., Contempory Mathematics v. 35,
1984, 75-141. Cited by #200, #205.
Akbulut, S. "Constructing a fake 4-manifold by Gluck con-
struction to a standard 4-manifold", Topology, 27 (1988), no. 2,
239-243.
MR. 89j #57014 *.
Akbulut,S. and H. King. "All knots are algebraic",Com-
ment. Math. Helv. 56 (1981), 339-351. Cited by #172.
MR. 83m #57005 *.
Akbulut, S. and R. Kirby. "Branched covers of surfaces in
4-manifolds",Math. Ann.,252 (1980),111-131. Cited by #196,
#201.
MR. 82j #57001.
Akbulut, S. and R. Kirby. "Exotic involutions of S4",
Topology, 18 (1979), 75-81. (Correction to appear) Cited by
#196, #200, #201.
Akbulut,S. and R. Kirby. "Mazur manifolds", Michigan Math.
J., 26 (1979), 259-284. Cited by #196, #200, #201.
MR. 80h #57004 *.
Akbulut,S. and R. Kirby. "A potential counterexample in
dimension 4 to the Poincare' conjecture, the Schoenflies conjec-
ture and the Andrews-Curtis conjecture", Topology, 24 (1985),
375-390. Cited by #196.
Akbulut,S. and R. Kirby. "Homotopy 4-spheres", to appear.
Cited by #201.
Akbulut,S. and John. D. McCarthy. Casson's invariant for
Oriented Homology 3-spheres. An exposition. Princeton, N.J.:
Princeton Univ. Press, Mathematical Notes No. 36, 1990.
MR. 90k #57017 *.
Aki, Kunio. "The function-theoretic and topological aspects
of braids", An. Acad. Brasil. Ci., 41 (1970), 669-676.
MR. 46 #4518 *.
#176
Akutsu, Y., T. Deguchi, and M. Wadati. "The Yang-Baxter
relation: A new tool for knot theory", in Braid Group, Knot
Theory and Statistical Mechanics, eds. C. N. Yang and M. L. Ge,
Singapore; Teaneck, N.J.; London; Hong Kong: World Scientific,
1989, 151-200.
Akutsu, Y., T. Deguchi, and M. Wadati. "Exactly solvable
models and new link polynomials II. Link polynomials for closed
3-braids", J. Phys. Soc. Japan, 56 (1987), 3464-3479. Cited by
#176, #180.
MR. 89g #82086 *.
Akutsu, Y., T. Deguchi, and M. Wadati. "Exactly solvable
models and new link polynomials III. Two-variable polynomial in-
variants", to appear. Cited by #180.
Akutsu, Y., T. Deguchi, and M. Wadati. "Exactly solvable
models and new link polynomials IV. IRF models", J. Phys. Soc.
Japan, 57 (1988), no. 4, 1173-1185.
MR. 90e #57004 *.
Akutsu, Y. and M. Wadati. "Knot invariants and the critical
statistical systems", J. Phys. Soc. Japan, 56 (1987), 839-842.
Cited by #176, #177, #180.
MR. 89g #82084 *.
Akutsu, Y. and M. Wadati. "Exactly solvable models and new
link polynomials I. N-state vertex models", J. Phys. Soc. Japn,
56 (1987), 3039-3051. Cited by #176, #180.
MR. 89g #82084 *.
Akutsu, Y. and M. Wadati. "Knots, links, braids and exact-
ly solvable models in statistical mechanics",Comm. Math. Phys.,
117 (1988), 243-259. Cited by #176, #180.
MR. 89k #57005 *.
Albar, Muhammad A. and David L. Johnson. "Circular braids",
Arab. Gulf J. Sci. Res., 2 (1984), no. 1, 137-145.
MR. 86a #20041 *.
Alexander, J. P., P. E. Conner, G. C. Hamrich, and J. W.
Vick. "Witt classes of integral representations of an Abelian
p-groups", Bull. Amer. Math. Soc., 80 (1974), 1179. Cited by
#276.
Alexander,J. W. "Note on Riemann spaces", Bull. Amer.
Math. Soc., 26 (1919), 370-372. Cited by #25, #31, #128, #172,
#211, #236, #283.
Alexander, J. W. "Topological invariants of knots and
links", Trans. Amer. Math. Soc., 30 (1923), 275-306. Cited by
#265, #266, #294.
Alexander, J. W. "Deformations of an n-cell", Proc. Nat.
Acad. Sci. U.S.A., 9 (1923), 406-407. Cited by #1, #10, #158,
#172, #193, #252, #279.
Alexander, J. W. "A lemma on systems of knotted curves",
Proc. Nat. Acad. Sci. U.S.A., 9 (1923), 93-95. Cited #1, #3, #10,
#20, #89, #160, #172, #176, #250.
Alexander, J. W. "Invariant points of a surface transforma-
tion of a given class", Trans. Amer. Math. Soc., 25 (1923), 173-
184. Cited by #195.
Alexander, J. W. "On the subdivision of three-space by a
polyhedron", Proc. Nat. Acad. Sci. U.S.A., 10 (1924), 6-8. Cited
by #25, #31, #172, #191, #193, #213, #304.
Alexander, J. W. "An example of a simply connected surface
bounding a region which is not simply connected",Proc. Nat.
Acad. Sci. U.S.A., 10 (1924), 8-10. Cited by #25, #31, #172,
#252.
Alexander,J.W. "Remarks on a point set constructed by
Antoine", Proc. Nat. Acad. Sci. U.S.A., 10 (1924), 10-12. Cited
by #25, #31, #252.
Alexander, J. W. "Topological invariants of knots and links",
Trans. Amer. Math. Soc., 30 (1928), 275-306. Cited by #25, #31,
#104, #106, #112, #128, #150, #172, #175, #176, #180, #236, #282.
Alexander, J. W. "The combinatorial theory of complexes",
Ann. Math., 30 (1930), 292-320. Cited by #193.
Alexander, J. W. "Some problems in topology", Verhandlungen
des Internationallen Mathematiker-Kongress Zurich, 1 (1932), 249-
257. Cited by #31, #172.
Alexander, J. W. "A matrix knot invariant", Proc. Nat.
Acad. Sci. USA, 19 (1933), 272-275. Cited by #283.
Alexander,J. W. and G. B. Briggs. "On types of knotted
curves", Ann. of Math., (2) 28 (1926-27), 562-586. Cited by #25,
#31, #39, #128, #172, #191, #230, #236, #282, #284.
Alford, W. R. "Some "nice" wild two-spheres in E3", in
Topology of 3-Manifolds and related topics (Proc. Inst.
Georgia, 1961),ed. M. K. Fort, Jr., Englewood Cliffs, N. J.:
Prentice-Hall, 1962, 29-33. Cited by #31, #172, #252.
MR. 25 #4504.
Alford,W. R. "Complements of minimal spanning surfaces of
knots are not unique", Ann. of Math., 91 (1970), 419-424. Cited
by #25, #77, #82, #128, #172, #212.
MR. 40 #6527 *.
#212
Alford,W. R.,and C. B. Schaufele. "Complements of minimal
spanning surfaces are not unique,II",in Topology of Manifolds
(Proc.,Univ. of Georgia,1969),eds. James C. Cantrell and C. H.
Edwards, Chicago: Markham Publishing Co., 1970, 87-96. Cited by
#77, #82.
MR. 44 #6527 *.
Alibert, D. and G. Maltsiniotis. "Groupe fondamentale du
complementaire d'une courbe a point double ordinaires", Bull.
Soc. Math. France, 102 (1874), 335-351. Cited by #263.
Allenby, R. B. J. T. and R. J. Gregorac. "Residual proper-
ties of nilpotent and supersolvable groups",J. Algebra,23
(1972), 565-573. Cited by #224.
Almgren,F. J.,Jr. and W. P. Thurston. "Examples of un-
knotted curves which bound only surfaces of high genus within
their curve hull", Ann. of Math., 105 (1977), 527-538. Cited by
#172.
Al-Rubaee, Faiz. "Spherical knots in lens spaces", Comm.
Pure Appl. Math., 43 (1990), no. 2, 291-294.
MR. 91a #57015 *.
Altin, Yilmaz and M. Emin Bozhuyuk. "Some properties of
shepherd's knots", Doga. Ser. A1: Mat. Fiz. Kim. Astronom.
Yerbilim., 8 (1984), no. 1, 1-5.
MR. 85k #57006 *.
Alvarez Gaume', Luis, Ce'sar Go'mez, and G. Sierra.
"Hidden quantum symmetries in rational conformal field theories",
Nuclear Phys. B, 319 (1989), no. 1, 155-186.
MR. 90k #81174 *.
Amir-Moez, Ali R. String figures-a symbolic approach.
New York: Assoc. for Computing Mach., 1979.
MR. 82e #00002*.
Ammann, A. "Sur les noeds repre'sentable comme tresses a`
trois brins", Publ. Centre Rech. Math. Pures (I), (Neuchatel), 17
(1982), 21-33. Cited by #172.
MR. 85b #57004 *.
Ammann, A. "Sur les noeds repre'sentable comme tresses a`
trois brins. II [Knots representable as braids with three
strands]" Publ. Centre Rech. Math. Pures (i) (Neuchatel),no. 18
(1983/84), 25 (1985).
CMP-18-8[57M25]
Anderson, D. W. "Chain functors and homology theories",
preprint.
Anderson, G. A. "Unlinking /\-homology spheres", Houston J.
Math., 8 (1983), 147-151. Cited by #172.
MR. 84a #57015.
Anderson, G. "Torsion points on Fermat Jacobians, roots of
circular units and relative singular homology", Duke Math. J.,
74 (1987), no. 2, 501-561. Cited by #98.
MR. 89g #14012.
Anderson, G. W. "The hyperadelic gamma function: A
pre'cis", in Galois Representations and Arithmetic Algebraic
Geometry, ed. Y. Ihara, New York: Elsevier Science Publishers
B.V., Advanced Studies in Pure Mathematics No. 12, 1987, 1-19.
Cited by #98, #241.
Anderson,G.,and Y. Ihara,"Pro-l branced coverings of p1
and higher circular l-units", Preprint 1987 (MSRI 05820-87).
Cited by #98.
Andrea, S. A. "On homeomorphism of the plane which have no
fixed points", Abh. Math. Sem. Univ. Hamburg, 30 (1967), 61-74.
Cited by #195.
Andrews, G. E., R. J. Baxter, and P. J. Forrester. "Eight-
vertex SOS model and generalized Rogers-Ramanujan-type identi-
ties", J. Stat. Phys., 35 (1984), 193-266. Cited by #178.
Andrews,J. J. and M. L. Curtis. "Knotted two-spheres in
four-sphere", Ann. of Math., (2) 70 (1959), 565-571. Cited by
#25, #31, #80, #129, #172.
MR. 21 #5964 *.
Andrews, J. and M. Curtis. "Free groups and handlebodies",
Proc. Amer. Math. Soc., 16 (1965), 192-195. Cited by #135, #200.
Andrews, J. and F. Dristy. "The Minkowski units of ribbon
knots", Proc. Amer. Math. Soc., 15 (1964), 856-864. Cited by
#172.
MR. 30 #1505 *.
Andrews,J. J. and S. J. Lomonaco. "The second homotopy
group of spun two-spheres in four-space", Bull. Amer. Math. Soc.,
75 (1969), 169-171. Cited by #80, #217.
MR. 38 #3863.
Andrews, J. J. and S. J. Lomonaco. "The second homotopy
group of spun two-spheres in four-space", Ann. of Math., 90
(1969), 199-204. Cited by #80.
MR. 40 #3547.
Andrews, J. and L. Rubin. "Some spaces whose product with E
is E4", Bull. Amer. Math. Soc., 71 (1965), 675-677. Cited by
#196.
Andrews, J. J. and D. W. Sumners. "On higher-dimensional
fibered knots", Trans. Amer. Math. Soc., 153 (1971), 415-426.
Cited by #129.
MR. 42 #6808 *.
Anger, A. L. "Machine calculation of knot polynomials",
Princeton senior thesis, 1959. Cited by #31, #30, #47.
Anshel, M. "Conjugate powers in HNN groups", Proc. Amer.
Math. Soc., 54 (1976), 19-23. Cited by #220.
MR. 52 #14059.
Anshel, M. "Decision problems for HNN groups and vector
addition systems", Math. Comput., 30 (1976), 154-156. Cited
by #220.
MR. 53 #626.
Anshel, M. "The conjugacy problem for HNN groups and the
word problem for commutative semigroups",Proc. Amer. Math. Soc.,
61 (1976), 223-224. Cited by #220.
MR. 54 #10446.
Anshel, M. and P. Strebe. "The solvability of the conjugacy
problem for certain HNN groups", Bull. Amer. Math. Soc., 80
(1974), 266-270. Cited by #220.
MR. 54 #7633.
Anstee, R. P., J. H. Przytycki, and D. Rolfsen. "Knot poly-
nomials and generalized mutation", Topology Appl., 32 (1989),
no. 3, 237-249. Cited by #180.
MR. 90h #57003 *.
Antoine, L. "Sur l'home'omorphie de deux figures et de leurs
voisinages", J. Math. Pure Appl., (8), 4 (1921), 221-325. Cited
by #31, #172, #252.
Antonelli, P. D. Burglelia, and P. Kahn. "The non-finite
homotopy type of some diffeomorphism groups",Topology,11
(1972). Cited by #260.
Aomoto, K. "Un the'ore`me du type de M-M concernant l'inte'-
grale des fonctions multiformes", J. Math. Pures Appl., 52 (1973),
1-11. Cited by #90.
Aomoto, K. "On the vanishing of cohomolgy attached to many
valued meromorphic functions,J. Math. Soc. Japan, 27 (1975),
248-255. Cited by #103.
Aomoto,K. "On the acyclicity of free cobar constructions
I," Proc. Japan Acad., 53 Ser. A (1977), 35-36 and 78-80. Cited
by #243.
Aomoto,K. "Fonctions hyperlogarithmiques et groupes de
monodromie unipotents",J. Fac. Sci. Univ. Tokyo Sect. I, 25
(1978), 149-156. Cited by #103.
Aomoto, K. "Gauss-Manin connection of integral of differ-
ence products", J. Math. Soc. Japan, 39 (1987), 191-208. Cited
by #90, #103, #108, #242.
#90
Aomoto, K. "A construction of integrabe differential system
associated with braid groups", in Braids (Proc., U. of Cali-
fornia, Santa Cruz, 1986),eds. Joan S. Birman and Anatoly Libgo-
ber, Contempory Mathematics v. 78, Amer. Math. Soc., 1988, 1-
11.
MR. 90h #14017 *.
Apodaca, Eugene Roger. "On the simultaneous embedding of
uncountably many distinct wild arcs with one wild endpoint in E3,
a geometric approach", Fund. Math., 113 (1981), no. 3, 175-186.
MR. 83b #57004 *.
Appel, K. I. "On the conjugacy problem for knot groups",
Math. Z., 138 (1974), 273-294. Cited by #172, #220.
MR. 50 #10090 *.
#219
Appel, Kenneth I. "On Artin groups and Coxeter groups of
large type", in Contributions to Group Theory, eds. Kenneth I.
Appel, John G. Ratcliffe, and Paul E. Schupp, Providence, R.I.:
Amer. Math. Soc., Contemporary Math. v. 33, 1984, 50-78. Cited
by #220.
Appel, K. I. and W. Haken. "Every planar map is four
colorable", Bull. Amer. Math. Soc., 82 (1976), 711-712. Cited
by #265.
Appel, K. I. and P. E. Schupp. "The conjugacy problem for
the group of any tame alternating knot is solvable", Proc. Amer.
Math. Soc., 33 (1972), 329-336. Cited by #172.
Appel, K. I. and P. E. Schupp. "Artin groups and infinite
Coxeter groups", Invent. Math., 72 (1983), 201-220. Cited by
#172, #219, #220.
MR. 84h #20028 *.
Applegate, H. and H. Onishi. "Continued fractions and the
conjugacy problem in SL(2,Z),Comm. in Alg. 9,11 (1981),1121-
1130. Cited by #72, #220.
MR. 82i #20052.
Araki,S. and T. Kudo. "Topology of Hn-spaces and H-
squaring operations", Mem. Fac. Sci. Kyusyu Univ., Ser. A (1956),
85-120. Cited by #264.
Arens, R. and K. Hoffman. "Algebraic extensions of normed
algebras", Proc. Amer. Math. Soc., 7 (1956), 203-210. Cited by
#97.
Arf, C. "Untersuchungen uber quadratische Formen in Korpern
der Charakteristic 2", J. Reine Agnew. Math., 183 (1941), 148-
167. Cited by #254.
Armitage, J. V. and A. Frohlich. "Class numbers and unit
signatures", Mathematika, 14 (1967), 94-98. Cited by #197.
Armstrong, M. A. "Transversality for polyhedra", Ann. of
Math., 86 (1967), 292-320. Cited by #193.
Armstrong, M. A. "Extending triangulations", Proc. Amer.
Math. Soc., 18 (1967), 701-704. Cited by #193.
Armstrong, M. "The fundamental group of the orbit space of
a discontinuous group", Proc. Cambridge Philos. Soc., 64 (1968),
299-301. Cited by #125, #195.
Armstrong, M. A. and E. C. Zeeman. "Piecewise linear trans-
versality", Bull. Amer. Math. Soc., 73 (1967), 184-188. Cited by
#193.
Armstrong, M. A. and E. C. Zeeman. "Transversality for
piecewise linear manifolds", Topology, 6 (1967), 433-466.
Cited by #193.
MR. 36 #2157.
Armstrong, S. M. "One relator groups with non-trivial cen-
tre", M. Phil. Thesis, Queen Mary College, 1977. Cited by #220.
Arnold,V. I. "On a class of algebraic functions and
cohomologies of fiber tails", Uspeki Mat. Nauk SSSR, 23 (1968),
247-248. Cited by #264.
Arnold,V. I. "Fibration of algebraic functions and coho-
mologies of dovetails", Uspehi Mat. Nauk, 23, no. 4 (1968), 253-
254. Cited by # 10, #160.
MR. 38 #156.
Arnold, V. I. "Remarks on the branching of hyperelliptic
integrals as functions of the parameter", Functional Anal. Appl.,
2 (1968), 187-189. Cited by #10, #92, #160, #277, #280.
MR. 39 #5583.
Arnold,V. I. "The cohomology ring of the group of dyed
braids", Mat. Zametki, 5 (1969), 138-140. Cited by #10, #94,
#96, #103, #160, #264, #280.
MR. 39 #3529.
Arnold, V. I. "The cohomological ring of the colored braid
groups", Math. Notes Acad. Sci. USSR, 5 (1969), 227-232. Cited
by #172, #195.
Arnold, V. I. "Cohomology classes of algebraic functions
invariant under Tschirnhausen Transformations", Functional Anal.
Appl., 4 (1970), 74-75. Cited by #89, #280.
Arnold, V. I. "Topological invariants of algebraic functions
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#94, #160, #172, #195, #280.
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MR. 51 #11477 * , MR. 54 #13894 *(Erratum).
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Birman, J. and R. Craggs. "The mu-invariant of 3-manifolds
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Birman, Joan S., F. Gonza'lez-Acun~a, and J. M. Montesinos.
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Birman, Joan S. and Bronislaw Wajnryb. "The mapping class
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Kanenobu,T. "Nonribbon n-knots with Seifert manifolds
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Kanenobu,T. "Alexander polynomials of two-bridged links",
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Kanenobu,T. "Higher-dimensional cable knots and their
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Kanenobu,T. "Examples on polynomial invariants of knots
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Kanenobu, T. "Infinitely many knots with the same polynomi-
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Kanenobu,T. "Hyperbolic links with Brunnian properties",
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Kanenobu, T. "The Jones polynomial of a plat", to appear.
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Kanenobu,T. "Classification of a family of knots",to
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Kanenobu, T. "Relations between the Jones and Q polynomials
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MR. 49 #3959 *.
Kato, M. "On uniformization of orbifolds", preprint. Cited
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Kato,M. "A classification of simple spinnable structures on a 1-connected
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Kauffman, Louis H. "Link manifolds and periodicity", Bull.
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MR. 48 #7296 *.
Kauffman, Louis H. "Branched coverings, open books, and
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MR. 51 #11532 *.
Kauffman, Louis H. "Products of knots", Bull. Amer.
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Kauffman, Louis H. "An invariant of link concordance",
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MR. 50 #14815 *.
Kauffman, Louis H. "Link manifolds", Michigan J. Math.,
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Kauffman,Louis H. "Cyclic branched cover and O(n)-
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#132
Kauffman, Louis H. "Signature of branched fibrations in
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Kauffman, Louis H. "Weaving patterns and polynomials", in
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MR. 82b #57004 *.
Kauffman, Louis H. "The Conway polynomial", Topology,
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#143
Kauffman, Louis H. "Levine's theorem - a remark", in Low-
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T. L. Thickstun,Cambridge, Cambridge University Press,1982,
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#150
Kauffman, Louis H. "Combinatorics and knot theory", in Low
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1983, 181-200. Cited by #172, #285.
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#266
Kauffman, L. H. Formal Knot Theory. Princeton, N.J.:
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Kauffman, L. H. "Knots", lecture notes, Zaragoza, Spring
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Kauffman,Louis H. "State models for knot polynomials",
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#229
Kauffman, Louis H. "The Arf invariant of classical knots",
in Combinatorial Methods in Topology and Algebraic Geometry,
eds. John R. Harper and Richard Mandelbaum,Providence, R.I.:
Amer. Math. Soc., Contemporary Math. v. 44, 1985, 101-116.
Cited by #265.
MR. 87a #57011 *.
Kauffman,Louis H. "State models for knot polynomials",
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Kauffman, Louis H. Map Reformulation. Princeton, N.J.:
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Kauffman, L. "State models and the Jones polynomial",
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Kauffman, L. H. On Knots. Princeton, N.J.: Princeton U.
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#100
Kauffman, Louis H. "Statistical Mechanics and the Jones
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MR. 89j #57002 *.
Kauffman, L. H. "New invariants in the theory of knots",
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MR. 89d #57005 *.
Kauffman, L. H. "New invariants in the theory of knots",
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MR. 90e #57009 *.
Kauffman,L. H. "A geometric interpretation of the general-
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Kauffman, L. H. "Invariants of graphs in three-space",
Trans. Amer.Math. Soc., 311 (1989), no. 2, 697-710. Cited
by #180, #265.
MR. 89f #57007 *.
Kauffman, L. H. "New invariants in the theory of knots",
On the geometry of differentiable manifolds (Rome, 1986),
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Cited by #100, #179, #180, #265.
MR. 90e #57009 *.
Kauffman, Louis H. Map Reformulation. Princelet Edition,
1987. Cited by #180.
Kauffman, Louis H. "State models for knot polynomials - an
introduction", to appear in the proceedings of the meeting of the
Brasilian Mathematical Society - July 1987. Cited by #180.
Kauffman, L. H. "New invariants in the theory of knots",
Amer. Math. Monthly, 95 (3) (1988), 195-242. Cited by #180.
MR. 89d #57005 *.
#180
Kauffman, Louis H. "Polynomial invariants in knot theory",
in Braid Group, Knot Theory and Statistical Mechanics, eds. C. N.
Yang and M. L. Ge, Singapore; Teaneck, N.J.; London; Hong Kong:
World Scientific, 1989, 27-58.
Kauffman, Louis H. "A Tutte polynomial for signed graphs",
to appear in Combinatorics and Complexity - a special issue of
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Kauffman, Louis H. "Map coloring and the vector cross pro-
duct",to appear in Journal of Combinatorial Theory). Cited by
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Kauffman, L. H. Knots and Physics. (book in preparation-
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Kauffman, L. H. "Statistical mechanics and the Alexander
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1989, 221-231. Cited by #180.
MR. 90i #57003 *.
Kauffman, L. H. "Knot polynomials and Yang-Baxter models",
IXth International Congress on Mathematical Physics (Swansea,
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CMP-1990-6[57, 82]
Kauffman, Louis H. "An invariant of regular isotopy",
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Cited by #100, #106, #112, #117, #174, #180, #265, #291.
MR. 90g #57007 *.
Kauffman, L. H. "State models for link polynomials",
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Kauffman, L. H. "Spin networks and knot polynomials",
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Kauffman, L. H. "Knots, abstract tensors and the Yang-Bax-
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Kauffman, L. H. Sign and Space / Knots and Physics, book
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Kauffman, L. H. and T. F. Banchoff. "Immersions and mod-2
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Kauffman, L. H. and S. Lins. "Decomposition of the vertex
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Kauffman,Louis H. and Walter D. Neumann. "Products of
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Kauffman,Louis H., M. Rasetti, C. Agnes, and A. Sparavigna.
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Kauffman,Louis H. and L. Taylor. "Signature of links",
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Kauffman, L. H. and P. Vogel. "Link polynomials and a
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Kaufman,Bruria. "Crystal statistics II. Partition func-
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Kawauchi,A. "Three dimensional homology handles and cir-
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Kawauchi,A. "H~-cobordism, I: The groups among three
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MR. 55 #6450 *.
Kawauchi,A. "On quadratic forms of 3-manifolds", Invent.
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MR. 58 #7645 *.
Kawauchi, A. "A partial Poincare' duality theorem for topo-
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Kawauchi,A. "On the Alexander polynomials of cobordant
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MR. 58 #7599 *.
Kawauchi,A. "The invertibility problem on amphicheiral ex-
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Kawauchi,A. "On n-manifolds whose puntured manifolds are
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Kawauchi,A. "Vanishing of the Rohlin invariant of some Z2-
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Kawauchi,A. "On links not cobordant to split links", Topo-
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MR. 82d #57011 *.
Kawauchi,A. "On three manifolds admitting orientation re-
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Kawauchi,A. "On the Rochlin invariants of Z2-homology 3-
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MR. 85e #57014 *.
Kawauchi,A. "On the Robertello invariants of proper
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Kawauchi, A. "Rochlin invariant and alpha-invariant", in
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Kawauchi, A. "Classification of pretzel knots", Kobe J.
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Kawauchi,A. "On the integral homology of infinite cyclic
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Kawauchi,A. "Dihedral coverings and the Rochlin invari-
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Kawauchi, A. "Knots in the stable 4-space: an overview",
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Kawauchi, A. "Imitation of (3,1)-dimensional manifold
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Kawauchi,A., T. Kobayashi, and M. Sakuma. "On 3-manifolds
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Kawauchi,A. and S. Kojima. "Algebraic classification of
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MR. 82b #57007.
Kawauchi,A. and T. Matumuto. "An estimate of infinite cy-
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Kawauchi,A.,H. Murakami,and K. Sugishita. "On the T-
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MR. 85c #57004 *.
Kawauchi, A., T. Shibuya, and S. Suzuki. "Descriptions on
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Kawauchi, A., T. Shibuya, and S. Suzuki. "Descriptions on
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MR. 85j #57033 *.
Kazhdan, D. and G. Lusztig. "Representations of Coxeter
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Kearton, C. "Regular neighborhoods and mapping cylinders",
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MR. 45 #1172 *.
Kearton, C. "A theorem on twisted spun knots", Bull. London
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MR. 46 #6339 *.
Kearton, C. "Noninvertible knots of codimension 2", Proc.
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MR. 49 #6217 *.
Kearton, C. "Classification of simple knots by Blanchfield
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MR. 48 #3056 *.
Kearton,C. "Presentations of n-knots", Trans. Amer. Math.
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MR. 50 #11254 *.
Kearton,C. "Simple knots which are doubly null-concor-
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MR. 52 #1714 *.
Kearton,C. "Blanchfield duality and simple knots", Trans.
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MR. 50 #11255 *.
Kearton,C. "Cobordism of knots and Blanchfield duality",
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MR. 52 #6732 *.
Kearton,C. "An algebraic classification of some even-
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MR. 56 #1323 *.
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Kearton,C. "Attempting to classify knot modules and their
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MR. 81b #57020 *.
Kearton,C. "Signature of knots and the free differential
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MR. 80h #57002.
Kearton,C. "Factorisation is not unique for 3-knots",
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Kearton,C. "The Milnor signatures of compound knots",
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MR. 81a #57009 *.
Kearton,C. "An algebraic classification of certain simple
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Kearton,C. "Hermitian signatures and double-null-cobordism
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Kearton,C. "A remarkable 3-knot", Bull. London Math. Soc.,
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Kearton,C. "Spinning, factorization of knots, and cyclic
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MR. 84h #57010 *.
Kearton,C. "Some non-fibred 3-knots", Bull. London Math.
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Kearton,C. "An algebraic classification of certain simple
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Kearton,C. "Simple spun knots", Topology, 23 (1984), 91-
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MR. 85e #57024 *.
Kearton, C. "Doubly-null-concordant simple even-dimensional
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Kearton, C. "Integer invariants of certain even-dimensional
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Kearton, C. "Mutation of knots", Proc. Amer. Math. Soc.,
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Kearton,C. and W. B. R. Lickorish. "Piecewise linear
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Kearton,C. and S. M. J. Wilson. "Cyclic group actions on
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Keef, Patrick. "On the S-equivalence of some general sets
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Keldyshs, L. V. "Cyclic group actions on odd dimensional
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Keldysh, L. V. "Some problems of topology in Euclidean
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Kervaire, M. "Smooth homology spheres and their fundamen-
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Kidwell, M. E. "Relations between the Alexander polynomial
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Kidwell, M. E. "On the two-variable Conway potential
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