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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Maximal Bennequin numbers and Kauffman polynomials of positive links
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by Toshifumi Tanaka PDF
Proc. Amer. Math. Soc. 127 (1999), 3427-3432 Request permission

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
  • Dale Rolfsen, Knots and links, Mathematics Lecture Series, No. 7, Publish or Perish, Inc., Berkeley, Calif., 1976. MR 0515288
  • Louis H. Kauffman, On knots, Annals of Mathematics Studies, vol. 115, Princeton University Press, Princeton, NJ, 1987. MR 907872
  • Shuji Yamada, The minimal number of Seifert circles equals the braid index of a link, Invent. Math. 89 (1987), no. 2, 347–356. MR 894383, DOI 10.1007/BF01389082
  • Jacek Świątkowski, On the isotopy of Legendrian knots, Ann. Global Anal. Geom. 10 (1992), no. 3, 195–207. MR 1186009, DOI 10.1007/BF00136863
  • Yoshiyuki Yokota, Polynomial invariants of positive links, Topology 31 (1992), no. 4, 805–811. MR 1191382, DOI 10.1016/0040-9383(92)90011-6
  • Lee Rudolph, An obstruction to sliceness via contact geometry and “classical” gauge theory, Invent. Math. 119 (1995), no. 1, 155–163. MR 1309974, DOI 10.1007/BF01245177
  • D. Fuchs, S. Tabachnikov, Invariants of Legendrian and transverse knots in the standard contact space, Topology, Vol. 36, No. 5, pp. 1025-1053 (1997).
  • 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).
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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
  • Received by editor(s): September 27, 1997
  • Received by editor(s) in revised form: February 6, 1998
  • Published electronically: May 6, 1999
  • Communicated by: Ronald A. Fintushel
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 3427-3432
  • MSC (1991): Primary 57M50, 57M25
  • DOI: https://doi.org/10.1090/S0002-9939-99-04983-7
  • MathSciNet review: 1616601