English

On a homology of foliations defined by non-singular Morse-Smale flows

Geometric Topology 2025-10-14 v3

Abstract

We propose a definition of a homology of a one-dimensional foliation defined by a non-singular Morse-Smale flow. We also show the calculation of the homology of such a foliation which is naturally associated with Seifert fibration.

Keywords

Cite

@article{arxiv.2402.01387,
  title  = {On a homology of foliations defined by non-singular Morse-Smale flows},
  author = {Masato Akizawa and Ryosuke Furuta and Shigeaki Miyoshi},
  journal= {arXiv preprint arXiv:2402.01387},
  year   = {2025}
}