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20152026
most citedThe Links-Gould invariant as a classical generalization of the Alexander polynomial?

2 citations · 2 across the 7 of their papers we have counts for

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math.GT2026

The Links--Gould polynomial of an alternating link is alternating

Matthew Harper, Ben-Michael Kohli

Building on work of Kauffman--Saleur and earlier work of the second author, we derive a determinant formula for the Links--Gould polynomial of links. As an application, we prove a…

math.GT2026

Detecting Causality with the Links--Gould Polynomial

Vladimir Chernov, Matthew Harper, Ben-Michael Kohli

The conjectures of Low and Natario--Tod, and Penrose's question on Arnold's Problem list ask if causality in spacetimes can be formulated in terms of linking of spheres of light ra…

math.GT2025★ 2 cited

The Links-Gould invariant as a classical generalization of the Alexander polynomial?

Ben-Michael Kohli

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…

math.GT2025

Skein theory for the Links-Gould polynomial

Stavros Garoufalidis, Matthew Harper, Rinat Kashaev +3

Building further on work of Marin and Wagner, we give a cubic braid-type skein theory of the Links--Gould polynomial invariant of oriented links and prove that it can be used to ev…

math.GT2023

A lower bound for the genus of a knot using the Links-Gould invariant

Ben-Michael Kohli, Guillaume Tahar

The Links-Gould invariant of links is a two-variable generalization of the Alexander-Conway polynomial. Using representation theory of , w…

math.GT2016

Other quantum relatives of the Alexander polynomial through the Links-Gould invariants

Ben-Michael Kohli, Bertrand Patureau-Mirand

Oleg Viro studied in arXiv:math/0204290 two interpretations of the (multivariable) Alexander polynomial as a quantum link invariant: either by considering the quasi triangular Hopf…

math.GT2015

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

Ben-Michael Kohli

This paper gives a connection between well chosen reductions of the Links-Gould invariants of oriented links and powers of the Alexander-Conway polynomial. We prove these formulas…