POSITIVITY OF KNOT POLYNOMIALS ON POSITIVE LINKS



CROMWELL, PR and MORTON, HR ORCID: 0000-0002-8524-2695
(1992) POSITIVITY OF KNOT POLYNOMIALS ON POSITIVE LINKS Journal of Knot Theory and Its Ramifications, 1 (02). pp. 203-206. ISSN 0218-2165, 1793-6527

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Abstract

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

Item Type: Article
Uncontrolled Keywords: 4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences
Depositing User: Symplectic Admin
Date Deposited: 23 Jan 2017 10:04
Last Modified: 22 May 2026 17:28
DOI: 10.1142/s0218216592000112
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3005315
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