A simplicial construction of G-equivariant Floer homology

Kristen Hendricks; Robert Lipshitz; Sucharit Sarkar

doi:10.1112/plms.12385

A simplicial construction of G-equivariant Floer homology

Symplectic Geometry 2021-11-09 v3 Algebraic Topology

Authors: Kristen Hendricks , Robert Lipshitz , Sucharit Sarkar

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Abstract

For G a Lie group acting on a symplectic manifold $(M,\omega)$ preserving a pair of Lagrangians $L_0$ , $L_1$ , under certain hypotheses not including equivariant transversality we construct a G-equivariant Floer cohomology of $L_0$ and $L_1$ .

Keywords

G-equivariant Floer homology Lie group action symplectic manifold Lagrangians simplicial construction

Cite

@article{arxiv.1609.09132,
  title  = {A simplicial construction of G-equivariant Floer homology},
  author = {Kristen Hendricks and Robert Lipshitz and Sucharit Sarkar},
  journal= {arXiv preprint arXiv:1609.09132},
  year   = {2021}
}

Comments

67 pages. V2: Nerve now uses smooth cubes instead of simplices; other corrections. V3: Further minor corrections. Accepted for publication in the Proceedings of the London Mathematical Society

A simplicial construction of G-equivariant Floer homology

Abstract

Keywords

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