POSITIVITY OF KNOT POLYNOMIALS ON POSITIVE LINKS

Author:

CROMWELL P. R.1,MORTON H. R.1

Affiliation:

1. Department of Pure Mathematics, University of Liverpool, PO Box 147, Liverpool, L69 3BX, United Kingdom

Abstract

We answer a question of Jones concerning the positivity of the two-variable (Homfly) knot polynomial PL when L is a positive link. We show that, in this case, PL (v, z) is a positive polynomial in z when v ∈ (0, 1).

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Application of Braiding Sequences. II. Polynomial Invariants of Positive Knots;Proceedings of the Edinburgh Mathematical Society;2016-03-03

2. Application of braiding sequences III: Concordance of positive knots;International Journal of Mathematics;2015-06

3. Minimal genus of links and fibering of canonical surfaces;Illinois Journal of Mathematics;2015-01-01

4. Closures of positive braids and the Morton–Franks–Williams inequality;Topology and its Applications;2014-09

5. Minimal genus and fibering of canonical surfaces via disk decomposition;LMS Journal of Computation and Mathematics;2014

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