Periodic Floer homology and Seiberg-Witten Floer cohomology

Yi-Jen Lee; Clifford Henry Taubes

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arXiv · 0906.0383

Periodic Floer homology and Seiberg-Witten Floer cohomology

Yi-Jen Lee·Clifford Henry Taubes

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Abstract

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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Yi-Jen Lee, Clifford Henry Taubes. 2009-06-01. Periodic Floer homology and Seiberg-Witten Floer cohomology. https://arxiv.org/abs/0906.0383

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