paper

Knot invariants from representations of braids by automorphisms of a free group

arXiv:2505.22403

Abstract

We describe an alternative way of computing Alexander polynomials of knots/links, based on the Artin representation of the corresponding braids by automorphisms of a free group. Then we apply the same method to other representations of braid groups discovered by Wada and compare the corresponding isotopic invariants to Alexander polynomials.

11 pages. Comments are welcome