Seiberg-Witten Floer homology and symplectic forms on S^1 X M^3
Symplectic Geometry
2009-04-10 v4 Geometric Topology
Abstract
Let M be a closed, connected, orientable 3-manifold. The purpose of this paper is to study the Seiberg-Witten Floer homology of M given that S^1 X M admits a symplectic form. In particular, we prove that M fibers over the circle if M has first Betti number 1 and S^1 X M admits a symplectic form with non-torsion canonical class.
Keywords
Cite
@article{arxiv.0804.1371,
title = {Seiberg-Witten Floer homology and symplectic forms on S^1 X M^3},
author = {Cagatay Kutluhan and Clifford Henry Taubes},
journal= {arXiv preprint arXiv:0804.1371},
year = {2009}
}
Comments
This is the version published by Geometry & Topology on 1 January 2009