Embedded contact homology and Seiberg–Witten Floer cohomology V

Taubes, Clifford Henry

doi:10.2140/gt.2010.14.2961

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Embedded contact homology and Seiberg–Witten Floer cohomology V

Clifford Henry Taubes

Geometry & Topology 14 (2010) 2961–3000

DOI: 10.2140/gt.2010.14.2961

Abstract

This is a sequel to four earlier papers by the author 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. These respective homology/cohomology theories carry additional structure; this sequel proves that the isomorphism that is constructed in the first four papers is compatible with this extra structure.

Keywords

Seiberg–Witten equations, Floer homology, contact homology

Mathematical Subject Classification 2000

Primary: 57R17

Secondary: 57R57

References

Publication

Received: 15 November 2008

Revised: 11 October 2010

Accepted: 20 October 2010

Published: 15 December 2010

Proposed: Rob Kirby

Seconded: Tom Mrowka, Gang Tian

Authors

Clifford Henry Taubes
Department of Mathematics Harvard University Cambridge, MA O2138 USA

Volume 14, issue 5 (2010)