Path-connectivity of the set of uniquely ergodic and cobounded foliations
arXiv:1909.03668
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.
42 pages, 2 figures