## Journal of Symplectic Geometry

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

#### Abstract

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.

#### Article information

Source
J. Symplectic Geom., Volume 10, Number 1 (2012), 81-164.

Dates
First available in Project Euclid: 27 March 2012