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arXiv · 2505.22403

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

Vladimir Shpilrain
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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.

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Vladimir Shpilrain. 2025-05-28. Knot invariants from representations of braids by automorphisms of a free group. https://arxiv.org/abs/2505.22403

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