Localization for Involutions in Floer Cohomology
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Seidel_Localization for (arxiv).pdf
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418.31 KB
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Adobe PDF
Checksum (MD5)
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Author(s)
Seidel, Paul
Smith, Ivan
Date Issued
October 2010
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1007/s00039-010-0099-y
