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

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.

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

References in corpus (3)

• Knots, sutures and excision
• Addendum to: "Knots, sutures and excision"
• The Seiberg-Witten equations and the Weinstein conjecture II: More closed integral curves of the Reeb vector field

Cited by in corpus (1)

• Giroux correspondence, confoliations, and symplectic structures on S^1 x M