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Periodic Floer homology
Geometry/Topology| Speaker: | Michael Hutchings, Stanford University |
| Location: | 693 Kerr |
| Start time: | Tue, Feb 20 2001, 2:10PM |
Description
Given an area-preserving diffeomorphism of a surface, we
define a chain complex, whose chains are generated by unions of
periodic orbits, and whose differential counts certain
pseudoholomorphic curves interpolating between them. We conjecture
that the homology of this complex agrees with the Seiberg-Witten Floer
homology of the mapping torus of the diffeomorphism. This is a joint
project with Michael Thaddeus. There is some relation with the symplectic field theory of Eliashberg, Givental, and Hofer.