English

Detecting Heegaard Floer homology solid tori

Geometric Topology 2025-05-05 v1

Abstract

We show that a rational homology solid torus is a Heegaard Floer homology solid torus if and only if it has a Dehn filling with a non-separating 2-sphere. Using this, we characterize Seifert fibered Heegaard Floer solid tori.

Keywords

Cite

@article{arxiv.2505.01217,
  title  = {Detecting Heegaard Floer homology solid tori},
  author = {Akram Alishahi and Tye Lidman and Robert Lipshitz},
  journal= {arXiv preprint arXiv:2505.01217},
  year   = {2025}
}

Comments

8 pages, 2 figures

R2 v1 2026-06-28T23:19:09.675Z