English

Floer homology beyond borders

Geometric Topology 2023-08-01 v1

Abstract

Bordered Floer homology is an invariant for 3-manifolds with boundary, defined by the authors in 2008. It extends the Heegaard Floer homology of closed 3-manifolds, defined in earlier work of Zolt\'an Szab\'o and the second author. In addition to its conceptual interest, bordered Floer homology also provides powerful computational tools. This survey outlines the theory, focusing on recent developments and applications.

Keywords

Cite

@article{arxiv.2307.16330,
  title  = {Floer homology beyond borders},
  author = {Robert Lipshitz and Peter Ozsváth and Dylan Thurston},
  journal= {arXiv preprint arXiv:2307.16330},
  year   = {2023}
}

Comments

12 pages

R2 v1 2026-06-28T11:43:57.080Z