arXiv Analytics

Sign in

arXiv:1209.4244 [math.GT]AbstractReferencesReviewsResources

Metabelian SL(n,C) representations of knot groups IV: twisted Alexander polynomials

Hans U. Boden, Stefan Friedl

Published 2012-09-19Version 1

In this paper we will study properties of twisted Alexander polynomials of knots corresponding to metabelian representations. In particular we answer a question of Wada about the twisted Alexander polynomial associated to the tensor product of two representations, and we settle several conjectures of Hirasawa and Murasugi.

Comments: 21 pages, 1 figure
Categories: math.GT
Subjects: 57M25, 20C15
Related articles: Most relevant | Search more
arXiv:0909.3275 [math.GT] (Published 2009-09-17)
Knot Groups with Many Killers
arXiv:math/0409529 [math.GT] (Published 2004-09-27, updated 2009-03-06)
A volume form on the SU(2)-representation space of knot groups
arXiv:2208.09032 [math.GT] (Published 2022-08-18)
Coxeter quotients of knot groups through 16 crossings

Links

Toolbox