Periodic Floer homology and Seiberg-Witten Floer cohomology

  title={Periodic Floer homology and Seiberg-Witten Floer cohomology},
  author={Yi-Jen Lee and Clifford H. Taubes},
  journal={arXiv: Geometric Topology},
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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