Periodic Floer homology and Seiberg-Witten Floer cohomology

Details Periodic Floer homology and Seiberg-Witten Floer cohomology Periodic Floer homology and Seiberg-Witten Floer cohomology

2009-06-01

arxiv.org/abs/0906.0383v3

Mathematics

Geometric Topology

Minor changes according to the referee's comments. To appear in J. Sympl. Geom

Scientific paper

Various Seiberg-Witten Floer cohomologies are defined for a closed, oriented 3-manifold; and if it is the mapping torus of an area-preserving surface automorphism, it has an associated periodic Floer homology as defined by Michael Hutchings. We construct an isomorphism between a certain version of Seiberg-Witten Floer cohomology and the corresponding periodic Floer homology, and describe some immediate consequences.

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