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, 01 (02). pp. 203-206. ISSN 0218-2165, 1793-6527

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Abstract

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

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: 06 Dec 2024 22:37
DOI: 10.1142/s0218216592000112
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3005315