Journal of Symplectic Geometry

Volume 10 (2012)

Number 1

Periodic Floer homology and Seiberg-Witten-Floer cohomology

Pages: 81 – 164



Yi-Jen Lee

Clifford Henry Taubes


Various Seiberg–Witten–Floer cohomologies are defined for a closed, oriented three-manifold; and if it is the mapping torus of an areapreserving 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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