Embedded contact homology and Seiberg–Witten Floer cohomology I

Taubes, Clifford Henry

doi:10.2140/gt.2010.14.2497

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Embedded contact homology and Seiberg–Witten Floer cohomology I

Clifford Henry Taubes

Geometry & Topology 14 (2010) 2497–2581

DOI: 10.2140/gt.2010.14.2497

Abstract

This is the first of five papers that construct an isomorphism between the embedded contact homology and Seiberg–Witten Floer cohomology of a compact $3$ –manifold with a given contact $1$ –form. This paper describes what is involved in the construction.

Keywords

Seiberg–Witten equations, Floer homology, contact homology

Mathematical Subject Classification 2000

Primary: 57R17

Secondary: 57R57

References

Publication

Received: 15 November 2008

Accepted: 21 August 2009

Published: 15 December 2010

Proposed: Rob Kirby, Tom Mrowka

Seconded: Danny Calegari, Peter Ozsváth

Authors

Clifford Henry Taubes
Department of Mathematics Harvard University Cambridge, MA 02138 USA

Volume 14, issue 5 (2010)