Seifert circles and knot polynomials

Author:

Morton H. R.

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. Entrelacements et équations de Pfaff;Bennequin;Astérisque,1983

2. A new polynomial invariant of knots and links

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2. A note on knot fertility. II;Acta Mathematica Hungarica;2023-04

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