@article{AFST_1999_6_8_4_677_0,
author = {Stoimenow, A.},
title = {The {Jones} polynomial, genus and weak genus of a knot},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {677--693},
year = {1999},
publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences},
address = {Toulouse},
volume = {Ser. 6, 8},
number = {4},
mrnumber = {1815161},
zbl = {0995.57002},
language = {en},
url = {https://www.numdam.org/item/AFST_1999_6_8_4_677_0/}
}
TY - JOUR AU - Stoimenow, A. TI - The Jones polynomial, genus and weak genus of a knot JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1999 SP - 677 EP - 693 VL - 8 IS - 4 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - https://www.numdam.org/item/AFST_1999_6_8_4_677_0/ LA - en ID - AFST_1999_6_8_4_677_0 ER -
%0 Journal Article %A Stoimenow, A. %T The Jones polynomial, genus and weak genus of a knot %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1999 %P 677-693 %V 8 %N 4 %I Université Paul Sabatier. Faculté des sciences %C Toulouse %U https://www.numdam.org/item/AFST_1999_6_8_4_677_0/ %G en %F AFST_1999_6_8_4_677_0
Stoimenow, A. The Jones polynomial, genus and weak genus of a knot. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 8 (1999) no. 4, pp. 677-693. https://www.numdam.org/item/AFST_1999_6_8_4_677_0/
[Ad] ). - The knot book, W. H. Freeman & Co., New York, 1994. | Zbl
[BFK] ), ) and ). - Understanding the Kauffman bracket skein module, q-alg 9604013.
[Ga] ). - Genera of the alternating links, Duke Math. J. 53 (3) (1986), 677-681. | Zbl | MR
[H] ), ), ), ), ) and ). - A new polynomial invariant of knots and links, Bull. Amer. Math. Soc. 12 (1985), 239-246. | Zbl | MR
[HTW] ), ) and ). - The first 1,701,936 knots, Math. Intell. 20 (4) (1998), 33-48. | Zbl | MR
[J] ). - A polynomial invariant of knots and links via von Neumann algebras, Bull. Amer. Math. Soc. 12 (1985), 103-111. | Zbl | MR
[J2] ). - Hecke algebra representations of braid groups and link polynomials, Ann. of Math. 126 (1987) 335-388. | Zbl | MR
[Ka] ). - State models and the Jones polynomial, Topology 26 (1987), 395-407. | Zbl | MR
[Ka2] ). - New invariants in the theory of knots, Amer. Math. Mon. 3 (1988), 195-242. | Zbl | MR
[Ka3] ). - An invariant of regular isotopy, Trans. Amer. Math. Soc. 318 (1990), 417-471. | Zbl | MR
[LT] ) and ). - Some links with non-trivial polynomials and their crossing numbers, Comment. Math. Helv. 63 (1988), 527-539. | Zbl | MR | EuDML
[Mo] ). - Seifert circles and knot polynomials, Proc. Camb. Phil. Soc. 99 (1986), 107-109. | Zbl | MR
[Mu] ). - Jones polynomial and classical conjectures in knot theory, Topology 26 (1987), 187-194. | Zbl | MR
[St] ). - Knots of genus two, preprint.
[St2] ). - Knots of genus one, accepted by Proc. Amer. Math. Soc. | MR | Zbl
[St3] ). - The polynomial behaviour of some knot invariants, preprint. | MR
[St4] ). - Gauß sum invariants, Vassiliev invariants and braiding sequences, to appear in Jour. of Knot Theory and its Ramifications. | Zbl | MR
[St5] ). - Polynomials of knots with up to 10 crossings, tables available on my webpage.
[St6] ). - On some restrictions to the values of the Jones polynomial, Humboldt University Berlin preprint, October 1998.
[St7] ). - Positive knots, closed braids and the Jones polynomial, preprint. math/9805078. | Numdam | MR | Zbl
[Th] ). - A spanning tree expansion for the Jones polynomial, Topology 26 (1987), 297-309. | Zbl | MR





