Volume 14, issue 5 (2010)

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Embedded contact homology and Seiberg–Witten Floer cohomology I

Clifford Henry Taubes

Geometry & Topology 14 (2010) 2497–2581
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
Primary: 57R17
Secondary: 57R57