Seiberg-Witten Floer homology and symplectic forms on S^1 X M^3

Details Seiberg-Witten Floer homology and symplectic forms on S^1 X M^3 Seiberg-Witten Floer homology and symplectic forms on S^1 X M^3

2008-04-09

arxiv.org/abs/0804.1371v4

Geom. Topol. 13 (2009) 493-525

Mathematics

Symplectic Geometry

This is the version published by Geometry & Topology on 1 January 2009

Scientific paper

10.2140/gt.2009.13.493

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.

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