Internet publication

### Equivariant Lagrangian Floer homology via cotangent bundles of EGN

Abstract:

We provide a construction of equivariant Lagrangian Floer homology HFG(L0,L1), for a compact Lie group G acting on a symplectic manifold M in a Hamiltonian fashion, and a pair of G-Lagrangian submanifolds L0,L1⊂M. We do so by using symplectic homotopy quotients involving cotangent bundles of an approximation of EG. Our construction relies on Wehrheim and Woodward's theory of quilts, and the telescope construction. We show that these groups are independent in the auxilliary choices involved in...

### Access Document

Files:
• (Pre-print, 2.3MB)
Publication website:
https://arxiv.org/abs/2202.10097

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publication date:
2022-02-21
Language:
English
Pubs id:
1241335
Local pid:
pubs:1241335
Deposit date:
2022-02-26