A full-twisting formula for the HOMFLY polynomial

Keita Nakagane

Vol. 313 (2021), No. 1, 185–193

DOI: 10.2140/pjm.2021.313.185

Abstract

We introduce a certain class of link diagrams, which includes all closed braid diagrams. We show a generalized version of Kálmán’s full-twist formula for the HOMFLY polynomial in the class.

Keywords

HOMFLY polynomial, Hecke algebra, full twist

Mathematical Subject Classification

Primary: 57K14

Secondary: 20C08

Milestones

Received: 24 March 2021

Revised: 15 April 2021

Accepted: 18 April 2021

Published: 17 September 2021