Classifying Pseudo-Anosov Flows on 3-Manifolds - Lecture 3

Explore a comprehensive lecture on classifying pseudo-Anosov flows on 3-manifolds, delivered by Kathryn Mann from Cornell University as part of the Simons Semester on Dynamics. Delve into the collaborative work with Barthelmé, Fenley, and Frankel, focusing on their approach to studying the dynamics of the fundamental group's action on the orbit space of the flow. Examine how this method transforms the flow into a discrete dynamical system with hyperbolic-like behavior. Discover the toolkit introduced for analyzing "Anosov-like actions on bifoliated planes" and its applications to flow studies. Learn about the compactification of the bifoliated plane by a circle at infinity and its significance in the classification process. Gain insights into future research directions for Anosov-like actions on the plane during this 58-minute lecture, which serves as the third installment in Mann's series on the subject.