Localization for involutions in Floer cohomology

Autor:	Seidel, Paul, Smith, Ivan
Rok vydání:	2010
Předmět:	Mathematics - Symplectic Geometry Mathematics - Geometric Topology 53D40 57M25
Druh dokumentu:	Working Paper
Popis:	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. Comment: 41 pages, no figures. Version 2 corrects an erroneous argument in Section 4 (the main results are unaffected). Version 3 has minor expository changes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1002.2648 Zobrazit plný text záznamu View this record from Arxiv