Localization for Involutions in Floer Cohomology

被引：39

作者：

Seidel, Paul ^{[1
]}

Smith, Ivan ^{[2
]}

机构：

[1] MIT, Cambridge, MA 02139 USA

[2] Ctr Math Sci, Cambridge CB3 0WB, England

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2010年 / 20卷 / 06期

基金：

欧洲研究理事会;

关键词：

Floer cohomology; symplectic group actions; Khovanov homology; Heegaard Floer cohomology; HOLOMORPHIC DISKS; HOMOLOGY; INVARIANTS; SPACES;

D O I：

10.1007/s00039-010-0099-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1464 / 1501

页数：38

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