HOMFLY polynomials for 3-component links with v-span 4

摘要

The HOMELY polynomial P-L (v, z) of a link L is a well known link invariant with two variables v and z, which generalizes the Jones polynomial. The v-span of the HOMELY polynomial is the difference between the maximum and the minimum degrees of the polynomial in the variable v. We show the HOMELY polynomial of the 3-component link with v-span 4 is determined by the Jones polynomial. (C) 2015 Elsevier B.V. All rights reserved.