Localization for Involutions in Floer Cohomology

Author(s)
Seidel, Paul; Smith, Ivan
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Abstract
We consider Lagrangian Floer cohomology for a pair of Lagrangian submanifolds in a symplectic manifold M. Suppose that M carries a symplectic involution, which preserves both submanifolds. Under various topological hypotheses, we prove a localization theorem for Floer cohomology, which implies a Smith-type inequality for the Floer cohomology groups in M and its fixed point set. Two applications to symplectic Khovanov cohomology are included.
Date issued
2010-10
URI
http://hdl.handle.net/1721.1/71593
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Geometric and Functional Analysis
Publisher
Springer-Verlag
Citation
Seidel, Paul, and Ivan Smith. “Localization for Involutions in Floer Cohomology.” Geometric and Functional Analysis 20.6 (2010): 1464–1501. Web.
Version: Author's final manuscript
ISSN
1016-443X
1420-8970
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