Equivariant Lagrangian Floer cohomology via semi-global Kuranishi structures

Abstract

Using a simplified version of Kuranishi perturbation theory that 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.

37 pages. Fixed several minor mistakes, removed some restrictions to get better results, and added more details to improve readability

References in corpus (2)

• Smooth Kuranishi atlases with isotropy
• A flexible construction of equivariant Floer homology and applications

Cited by in corpus (1)

• Equivariant Lagrangian Floer homology via cotangent bundles of $E{G}_N$