Embedded contact homology and Seiberg–Witten Floer cohomology I

Taubes, Clifford Henry¹

¹ Department of Mathematics, Harvard University, Cambridge, MA 02138, USA

Geometry & topology, Tome 14 (2010) no. 5, pp. 2497-2581.

Résumé

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.

Détail

DOI : 10.2140/gt.2010.14.2497

Keywords: Seiberg–Witten equations, Floer homology, contact homology

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