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Maximal Bennequin numbers and Kauffman polynomials of positive links
Author(s):
Toshifumi
Tanaka
Journal:
Proc. Amer. Math. Soc.
127
(1999),
3427-3432.
MSC (1991):
Primary 57M50, 57M25
Posted:
May 6, 1999
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Abstract:
By using results of Yamada and of Yokota, concerning link diagrams and link polynomials, we give some relationships between maximal Bennequin numbers and Kauffman polynomials of positive links.
References:
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- D. Rolfsen, Knots and links, Publish or Perish, Inc. (1976). MR 58:24236
- 2.
- L. H. Kauffman, On knots, Ann. of Math. Studies 115. Princeton Univ. Press (1987). MR 89c:57005
- 3.
- S. Yamada, The minimal number of Seifert circles equals to the braid index of a link, Invent. Math., Vol. 89, (1987). MR 88f:57015
- 4.
- J. Swiatkowski, On the isotopy of Legendrian knots, Ann. Glob. Anal. Geom. Vol. 10, pp. 195-207 (1992). MR 93m:57010
- 5.
- Y. Yokota, Polynomial invariants of positive links, Topology, Vol. 31, No. 4, pp. 805-811 (1992). MR 93k:57028
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- L. Rudolph, An obstruction to sliceness via contact geometry and ``classical" gauge theory, Invent. Math, Vol. 199, pp. 155-163 (1995). MR 95k:57013
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- D. Fuchs, S. Tabachnikov, Invariants of Legendrian and transverse knots in the standard contact space, Topology, Vol. 36, No. 5, pp. 1025-1053 (1997). CMP 97:11
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- S. Tabachnikov, Estimates for the Bennequin number of Legendrian links from state models for knot polynomials, Math. Res. Let. Vol. 4, pp. 143-156 (1997). CMP 97:08
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Additional Information:
Toshifumi
Tanaka
Affiliation:
Graduate School of Mathematics, Kyushu University, Hakozaki 6-10-1, Higashiku, Fukuoka, 812-8581 Japan
Email:
ttanaka@math.kyushu-u.ac.jp
DOI:
10.1090/S0002-9939-99-04983-7
PII:
S 0002-9939(99)04983-7
Keywords:
Positive links,
Bennequin number,
Kauffman polynomial
Received by editor(s):
September 27, 1997
Received by editor(s) in revised form:
February 6, 1998
Posted:
May 6, 1999
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
1999,
American Mathematical Society
Forward Citation(s): Information for authors on submitting citations The following works have cited this article Toshifumi Tanaka, Maximal Bennequin numbers and Kauffman polynomials of positive links, Proceedings of the American mathematical society 127 (1999), 3427-3432.
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