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

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.

arXiv comment42 pages, 2 figures

References in corpus (2)

• Convex cocompact subgroups of mapping class groups
• Train tracks and the Gromov boundary of the complex of curves