#### Volume 14, issue 5 (2010)

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Embedded contact homology and Seiberg–Witten Floer cohomology V

### Clifford Henry Taubes

Geometry & Topology 14 (2010) 2961–3000
##### 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
Primary: 57R17
Secondary: 57R57
##### 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