Introduction to twisted Alexander polynomials and related topics
Teruaki Kitano
TL;DR
This paper introduces the concept of twisted Alexander polynomials, explaining how to compute them for non-experts, and discusses related topics in knot theory and algebraic invariants.
Contribution
It provides an accessible explanation and computational methods for twisted Alexander polynomials, a topic previously complex for non-experts.
Findings
Provides step-by-step computation methods
Clarifies the theoretical background of twisted Alexander polynomials
Connects twisted polynomials to broader topics in knot theory
Abstract
This article is based on the lectures in the Winter Braids V (Pau, Feb. 2015). Main puposel of this is to explain how to compute twisted Alexander polynomials for non-experts.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · semigroups and automata theory