English

Stable loops and almost transverse surfaces

Geometric Topology 2019-03-22 v1 Dynamical Systems

Abstract

We show that the cone over a fibered face of a compact fibered hyperbolic 3-manifold is dual to the cone generated by the homology classes of finitely many curves called minimal stable loops living in the associated veering triangulation. We also present a new, more hands-on proof of Mosher's Transverse Surface Theorem.

Keywords

Cite

@article{arxiv.1903.08709,
  title  = {Stable loops and almost transverse surfaces},
  author = {Michael Landry},
  journal= {arXiv preprint arXiv:1903.08709},
  year   = {2019}
}

Comments

36 pages, 23 figures

R2 v1 2026-06-23T08:14:22.760Z