On the Links-Gould invariant and the square of the Alexander polynomial

Affiliation auteursAffiliation ok
TitreOn the Links-Gould invariant and the square of the Alexander polynomial
Type de publicationJournal Article
Year of Publication2016
AuteursKohli B-M
JournalJOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
Volume25
Pagination1650006
Date PublishedFEB
Type of ArticleArticle
ISSN0218-2165
Mots-clésAlexander-Conway polynomial, knot, link, Links-Gould invariant, R-matrix
Résumé

This paper gives a connection between well-chosen reductions of the Links-Gould invariants of oriented links and powers of the Alexander-Conway polynomial. This connection is obtained by showing the representations of the braid groups we derive the specialized Links-Gould polynomials from can be seen as exterior powers of a direct sum of Burau representations.

DOI10.1142/S0218216516500061