Twisted Alexander polynomials and fibered 3-manifolds
Geometric Topology
2010-01-05 v1
Abstract
In a series of papers the authors proved that twisted Alexander polynomials detect fibered 3-manifolds, and they showed that this implies that a closed 3-manifold N is fibered if and only if S^1 x N is symplectic. In this note we summarize some of the key ideas of the proofs. We also give new evidence to the conjecture that if $ is a symplectic 4-manifold with a free S^1-action, then the orbit space is fibered.
Keywords
Cite
@article{arxiv.1001.0132,
title = {Twisted Alexander polynomials and fibered 3-manifolds},
author = {Stefan Friedl and Stefano Vidussi},
journal= {arXiv preprint arXiv:1001.0132},
year = {2010}
}
Comments
22pages, 2 figures to be published by the Proceedings of the Georgia International Topology Conference 2009