English

Path-connectivity of the set of uniquely ergodic and cobounded foliations

Geometric Topology 2021-06-14 v2 Dynamical Systems

Abstract

We show that for a closed surface of genus at least 5, or a surface of genus at least 2 with at least one marked point, the set of uniquely ergodic foliations and the set of cobounded foliations is path-connected and locally path-connected.

Keywords

Cite

@article{arxiv.1909.03668,
  title  = {Path-connectivity of the set of uniquely ergodic and cobounded foliations},
  author = {Jon Chaika and Sebastian Hensel},
  journal= {arXiv preprint arXiv:1909.03668},
  year   = {2021}
}

Comments

42 pages, 2 figures