Reeb flows transverse to foliations

Abstract: Eliashberg and Thurston showed that (roughly) $C^2$ taut foliations on 3-manifolds can be approximated by tight contact structures. I will explain a new approach to this theorem which allows one to control the resulting Reeb flow and hence produce many hypertight contact structures. Along the way, I will explain how harmonic transverse measures may be used to understand the holonomy of foliations.

Mathematics

Audience: researchers in the discipline

Regensburg low-dimensional geometry and topology seminar