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Abstract: We consider Lagrangian Floer cohomology for a pair of Lagrangian submanifoldsin a symplectic manifold M. Suppose that M carries a symplectic involution,which preserves both submanifolds. Under various topological hypotheses, weprove a localization theorem for Floer cohomology, which implies a Smith-typeinequality for the Floer cohomology groups in M and its fixed point set. Twoapplications to symplectic Khovanov cohomology are included.



Autor: Paul Seidel, Ivan Smith

Fuente: https://arxiv.org/







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