Geometry & Topology 13 (2009) 1337–1417

DOI: 10.2140/gt.2009.13.1337

Abstract

Let M denote a compact, orientable 3–dimensional manifold and let a denote a contact 1–form on M; thus a ∧ da is nowhere zero. This article explains how the Seiberg–Witten Floer homology groups as defined for any given Spin_C structure on M give closed, integral curves of the vector field that generates the kernel of da.

Keywords

Mathematical Subject Classification

Primary: 57R17, 57R57

References

Publication

Received: 22 April 2007
Revised: 24 November 2008
Accepted: 1 December 2008
Published: 16 February 2009
Proposed: Tom Mrowka
Seconded: Yasha Eliashberg, Ron Stern

Authors