English

Equivariant Lagrangian Floer cohomology via semi-global Kuranishi structures

Symplectic Geometry 2021-08-25 v2

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.

Keywords

Cite

@article{arxiv.1812.09796,
  title  = {Equivariant Lagrangian Floer cohomology via semi-global Kuranishi structures},
  author = {Erkao Bao and Ko Honda},
  journal= {arXiv preprint arXiv:1812.09796},
  year   = {2021}
}

Comments

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