The Links–Gould Invariant as a Classical Generalization of the Alexander Polynomial?. Issue 3 (3rd July 2018)

• Record Type: Journal Article
• Authors: Kohli, Ben-Michael
• Is Part Of: Experimental mathematics. Volume 27:Issue 3(2018)
• Page Start: 251
• Page End: 264
• Publication Date: 2018-07-03
• Subjects: Alexander–Conway polynomial -- fibredness -- genus -- knot -- link -- Links–Gould invariant; 57M27; Mathematics -- Periodicals; Mathematics -- Research -- Periodicals; 510.724
• DOI: 10.1080/10586458.2016.1255860
• Languages: English
• ISSNs: 1058-6458

Abstract

ABSTRACT: In this article, we conjecture that the Links–Gould invariant of links, which we know is a generalization of the Alexander–Conway polynomial, shares some of its classical features. In particular, it seems to give a lower bound for the genus of links and to provide a criterion for fibredness of knots. We give some evidence for these two assumptions.