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Equivariant Lagrangian Floer cohomology via semi-global Kuranishi structures

Erkao Bao and Ko Honda

Algebraic & Geometric Topology 21 (2021) 1677–1722

Using a simplified version of Kuranishi perturbation theory, which we call semi-global Kuranishi structures, we give a definition of the equivariant Lagrangian Floer cohomology of a pair of Lagrangian submanifolds that are fixed under a finite symplectic group action and satisfy certain simplifying assumptions.

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equivariant Lagrangian Floer homology, semi-global Kuranishi structure, relative spin, coherent orientation, symplectic structure
Mathematical Subject Classification 2010
Primary: 57M50
Secondary: 53D10, 53D40
Received: 3 May 2019
Revised: 1 May 2020
Accepted: 28 July 2020
Published: 18 August 2021
Erkao Bao
School of Mathematics
University of Minnesota
Minneapolis, MN
United States
Ko Honda
Department of Mathematics
University of California, Los Angeles
Los Angeles, CA
United States