On the Links–Gould invariant and the square of the Alexander polynomial-Reference-Cited by-同舟云学术

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

Published:2016-02 Issue:02 Volume:25 Page:1650006
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Kohli Ben-Michael¹

Affiliation:

1. IMB UMR5584, CNRS, Université Bourgogne Franche-Comté, F-21000 Dijon, France

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216516500061

Reference15 articles.

1. An Infinite Suite of Links–Gould Invariants

2. Infinitely many two-variable generalisations of the Alexander–Conway polynomial

3. On the Links–Gould Invariant of Links

4. Free Differential Calculus. II: The Isomorphism Problem of Groups

5. Multivariable link invariants arising from sl(2|1) and the Alexander polynomial

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants;Journal of Geometry and Physics;2021-10

2. A combinatorial description of the centralizer algebras connected to the Links–Gould invariant;Algebraic & Geometric Topology;2021-08-11

3. Other quantum relatives of the Alexander polynomial through the Links-Gould invariants;Proceedings of the American Mathematical Society;2017-08-01

4. The Links–Gould Invariant as a Classical Generalization of the Alexander Polynomial?;Experimental Mathematics;2016-12-21