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Seifert circles and knot polynomials

  • H. R. Morton (a1)
Abstract

In this paper I shall show how certain bounds on the possible diagrams presenting a given oriented knot or link K can be found from its two-variable polynomial PK defined in [3]. The inequalities regarding exponent sum and braid index of possible representations of K by a closed braid which are proved in [5] and [2] follow as a special case.

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[3] P. Freyd , D. Yetter , J. Hoste , W. B. R. Lickorish , K. C. Millett and A. Ocneanu . A new polynomial invariant of knots and links. Bull. Amer. Math. Soc. (N.S.) 12 (1985), 239246.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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