The Links-Gould invariant as a classical generalization of the Alexander polynomial?
Geometric Topology
2025-05-14 v1 Quantum Algebra
Representation Theory
Abstract
In this paper we conjecture that the Links-Gould invariant of links, that 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 fiberedness of knots. We give some evidence for these two assumptions.
Cite
@article{arxiv.2505.08296,
title = {The Links-Gould invariant as a classical generalization of the Alexander polynomial?},
author = {Ben-Michael Kohli},
journal= {arXiv preprint arXiv:2505.08296},
year = {2025}
}