@incollection{AST_1988__163-164__137_0, author = {Kauffman, Louis H.}, title = {New invariants in the theory of knots}, booktitle = {On the Geometry of Differentiable Manifolds Rome, 23-27 juin 1986}, author = {Collectif}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {163-164}, year = {1988}, zbl = {0673.57007}, language = {en}, url = {http://archive.numdam.org/item/AST_1988__163-164__137_0/} }
Kauffman, Louis H. New invariants in the theory of knots, dans On the Geometry of Differentiable Manifolds Rome, 23-27 juin 1986, Astérisque, no. 163-164 (1988), 83 p. http://archive.numdam.org/item/AST_1988__163-164__137_0/
[A] Topological invariants of knots and links. Trans. Amer. Math. Soc., 30 (1923), 275-306. | Article | JFM 54.0603.03
.[B] Exactly Solved Models in Statistical Mechanics. Academic Press (1982). | Zbl 0723.60120
.[Bir] Braids, links and mapping class groups. Ann. of Math. Studies, No. 82. Princeton University Press, Princeton, New Jersey (1976). | Zbl 0305.57013
.[BW] Link polynomials and a new algebra. (preprint).
and .[BLM] A polynomial invariant for unoriented knots and links. Invent. Math., 84, 563-573 (1986). | Article | EuDML 143352 | Zbl 0595.57009
, and .[Con] An enumeration of knots and links and some of their algebraic properties. Computational Problems in Abstract Algebra. Pergamon Press, New York (1970), 329-358. | Zbl 0202.54703
.[Co]
. Thesis. Warwick (1981).[Cr] Genus of alternating link types. Ann. of Math., 69 (1959), 258-275. | Article | Zbl 0111.35803
.[CF] Introduction to Knot Theory. Blaisdell Publishing Company (1963). | Zbl 0126.39105
and .[G] A family of links and the Conway calculus. Trans. Amer. Math. Soc., 270 (1982), 75-109. | Article | Zbl 0492.57002
.[Gr] Die semilinearen abbildungen. S.B. Heidelberger Akad. Wiss. Math. - Nat. K1. (1950). 205-272. | Zbl 0041.52302
.[H] A new polynomial invariant for knots and links - preliminary report. AMS Abstracts, Vol. 6, #4, Issue 39(1985), 300.
.[Homfly] A new polynomial invariant of knots and links. Bull. Amer. Math. Soc., 12 (1985), 239-246. | Article | Zbl 0572.57002
, , , , , and .[J1] A new knot polynomial and von Neumann algebras. Notices of AMS (1985).
.[J2] A polynomial invariant for links via von Neumann algebras. Bull. Amer. Math. Soc, 12 (1985), 103-112. | Article | Zbl 0564.57006
.[J3] Hecke algebra representations of braid groups and links polynomials, (to appear). | Zbl 0631.57005
.[K1] The Conway polynomial. Topology, 20(1980), 101-108. | Article | Zbl 0456.57004
.[K2] Formal Knot Theory. Princeton University Press. | Zbl 0537.57002
.[K3] On Knots. Princeton University Press. Annals Study 115 (1987). | Zbl 0627.57002
.[K4] An Invariant of Regular Isotopy. (Announcement - 1985) . | Zbl 0763.57004
.[K5] State models and the Jones polynomial. Topology 26 No. 3 (1987). 395-407. | Article | Zbl 0622.57004
.[K6] An invariant of regular isotopy. (to appear). | Article | Zbl 0763.57004
.[K7] Knots and Physics. (in preparation).
.[K8] Invariants of graphs in three space. (to appear). | Article | Zbl 0672.57008
.[K9] A Tutte polynomial for signed graphs. (to appear). | Article | Zbl 0698.05026
.[K10] State expansions and generalized Tutte polynomials. (in preparation).
and .[K11] Statistical mechanics and the Jones polynomial. (To appear in the Proceedings of the 1986 Summer Conference on the Artin Braid Group, Santa Cruz, California.) | Zbl 0664.57002
.[K12] State models and knot polynomials - an introduction. (To appear in the Proceedings of the 1987 Summer meeting of the Brasilian Mathematical Society - IMPA - Rio de Janeiro, Brazil.) | Zbl 1139.57015
.[Ki] On the degree of the Brandt-Lickorish-Millett polynomial of a Link. (preprint). | Zbl 0638.57004
.[LM] A polynomial invariant of oriented links. Topology vol. 26, No. ]. 107-141. | Article | Zbl 0608.57009
and .[L] A relationship between link polynomials. Math. Proc. Cambridge Philos. Soc., (to appear). | Zbl 0603.57005
.[M1] Jones polynomials and classical conjectures in knot theory I. (to appear). | Zbl 0628.57004
.Jones polynomials and classical conjectures in knot theory II. (to appear). | Article | Zbl 0628.57004
.[M2] Jones polynomials and class conjectures in knot theory. Topology, vol. 26, No. 2 (1987), 187-194. | Article | Zbl 0628.57004
.[P] Applications of negative dimensional tensors. Combinatorial Mathematics and its Applications. Edited by D.J.A. Welsh. Academic Press (1971). | Zbl 0216.43502
.[R] Knotentheorie. Chelsea Publishing Company, New York (1948). Copyright 1932, Julius Springer, Berlin. | Zbl 0277.55007
.[Ro] Knots and Links. Publish or Perish Press (1976). | Zbl 0854.57002
.[S] Topological chirality of certain molecules. Topology vol. 25, No. 2, pp. 229-235 (1986). | Article | Zbl 0615.57005
.[M] Seifert Circles and Knot Polynomials. Math. Proc. Comb. Phil. Soc., 99 (1986), pp. 107-109. | Article | Zbl 0588.57008
.[T1] A spanning tree expansion of the Jones polynomial. Topology, vol. 26, No. 3 (1987), 297-310. | Article | Zbl 0622.57003
.[T2] Kauffman's polynomial and alternating links. (to appear). | Article | Zbl 0667.57002
.[Tu] A contribution to the theory of chromatic polynomials. Canad. J. Math., 6 (1953), 80-91. | Article | Zbl 0055.17101
,[W] The knotting of theta curves and other graphs in . (to appear in Proceedings of 1985 Georgia Topology Conference). | Zbl 0613.57003
.[Wu] Jones polynomial and the crossing number of links. (preprint). | Zbl 0673.57008
.[Wh] Self-linking and the Gauss integral in higher dimensions. Amer. J. Math. XCI (1969), 693-728. | Article | Zbl 0193.50903
.[BCW] Supercoiled DNA. Sci. Am., 243 (1980), pp. 118-133.
, and .[F] Decomposition of the linking number of a closed ribbon: A problem from molecular biology. Proc. Natl. Acad. Sci., USA, 75 (1978), 3557. | Article | Zbl 0395.92010
.