A SURVEY OF TWISTED ALEXANDER POLYNOMIALS

By Stefan Friedl, Stefano Vidussi. 2009

140 citations recorded by the source corpus.

We give a short introduction to the theory of twisted Alexander polynomials of a 3-manifold associated to a representation of its fundamental group. We summarize their formal properties and we explain their relationship to twisted Reidemeister torsion. We then give a survey of the many applications of twisted invariants to the study of topological problems. We conclude with a short summary of the theory of higher order Alexander polynomials.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3173bf13560d113701ba670f8f860b741388ed31

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Stefano Vidussi
2. Stefan Friedl

In Geometry and Topology

1. Stefano Vidussi
2. Stefan Friedl
3. Charles Livingston

In Mathematical Physics

1. Stefano Vidussi
2. Stefan Friedl
3. Charles Livingston

Citations in the corpus

• The Thurston norm and twisted Alexander polynomials (2012, methodology): “By [14, 27] it can be viewed as the twisted Reidemeister torsion of .”