Reidemeister torsion, the Thurston norm and Harvey's invariants
Geometric Topology
2007-05-23 v3
Abstract
Recently twisted and higher order Alexander polynomials were used by Cochran, Harvey, Friedl--Kim and Turaev to give lower bounds on the Thurston norm. We first show how Reidemeister torsion relates to these Alexander polynomials. We then give lower bounds on the Thurston norm in terms of the Reidemeister torsion which contain and extend all the above lower bounds and give an elegant reformulation of the bounds of Cochran, Harvey and Turaev. The Reidemeister torsion approach also gives a natural approach to proving and extending certain monotonicity results of Cochran and Harvey.
Cite
@article{arxiv.math/0508648,
title = {Reidemeister torsion, the Thurston norm and Harvey's invariants},
author = {Stefan Friedl},
journal= {arXiv preprint arXiv:math/0508648},
year = {2007}
}
Comments
Final version, to be published by the Pacific Journal of Mathematics