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arXiv · 1002.2648

Localization for involutions in Floer cohomology

Paul Seidel·Ivan Smith
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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.

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Paul Seidel, Ivan Smith. 2010-08-21. Localization for involutions in Floer cohomology. https://arxiv.org/abs/1002.2648

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