Twisted Alexander polynomials of torus links-Reference-Cited by-同舟云学术

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Twisted Alexander polynomials of torus links

Published:2020-03-04 Issue:04 Volume:29 Page:2050016
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Kitano Teruaki¹,Morifuji Takayuki²,Tran Anh T.³

Affiliation:

1. Department of Information Systems Science, Faculty of Science and Engineering, Soka University, 1-236, Tangi-Cho, Hachioji, Tokyo 192-8577, Japan

2. Department of Mathematics, Keio University, Hiyoshi Campus, Yokohama 223-8521, Japan

3. Department of Mathematical Sciences, The University of Texas at Dallas, Richardson, TX 75080, USA

Abstract

In this paper, we give an explicit formula for the twisted Alexander polynomial of any torus link and show that it is a locally constant function on the [Formula: see text]-character variety. We also discuss similar things for the higher-dimensional twisted Alexander polynomial and the Reidemeister torsion.

Funder

JSPS KAKENHI

Simons Foundation

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216520500169

Reference15 articles.

1. Varieties of Group Representations and Splittings of 3-Manifolds

2. Contributions in Mathematical and Computational Sciences;Friedl S.,2010

3. On the character variety of group representations in SL(2, ℂ) and PSL(2, ℂ)

4. Twisted Alexander polynomial and Reidemeister torsion

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