Non-commutative Multivariable Reidemeister Torsion and the Thurston Norm
Geometric Topology
2007-05-23 v1 Algebraic Topology
Abstract
In a previous paper, the second author defined integer-valued functions delta_n on the first cohomology of a 3-manifold, generalizing McMullen's Alexander norm. It was shown that these functions give lower bounds on the Thurston norm. In this paper, we reformulate these invariants in terms of Reidemeister torsion over a non-commutative multivariable Laurent polynomial ring. This allows us to show that these functions are semi-norms.
Cite
@article{arxiv.math/0608409,
title = {Non-commutative Multivariable Reidemeister Torsion and the Thurston Norm},
author = {Stefan Friedl and Shelly Harvey},
journal= {arXiv preprint arXiv:math/0608409},
year = {2007}
}
Comments
19 pages, 4 figures