English

Dehn-Fried surgeries on non-transitive expansive flows

Dynamical Systems 2025-07-25 v2

Abstract

In this paper, we prove that for any flow Ψ\Psi obtained by a Dehn-Fried surgery on an expansive (or equivalently topological pseudo-Anosov) flow Φ\Phi in dimension 3, Ψ\Psi is expansive if and only if its stable and unstable foliations do not contain 11-prong singularities.

Cite

@article{arxiv.2410.21470,
  title  = {Dehn-Fried surgeries on non-transitive expansive flows},
  author = {Ioannis Iakovoglou},
  journal= {arXiv preprint arXiv:2410.21470},
  year   = {2025}
}

Comments

24 pages, 5 figures

R2 v1 2026-06-28T19:38:45.420Z