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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
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
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