Applications of contact geometry to 3-dimensional Anosov dynamics

Geometry Topology Seminar
Monday, November 29, 2021 - 2:00pm for 1 hour (actually 50 minutes)
Online (also Skiles 006)
Federico Salmoiraghi – Technion –
Surena Hozoori

Meeting link:

Anosov flows are an important class of dynamical systems due to their ergodic properties and structural stability. Geometrically, they are defined by two transverse invariant foliations with expanding and contracting behaviors. Much of our understanding of the structure of an Anosov flow relies on the study of the leaves space of the invariant foliations. In this talk we adopt a different approach: in the early 90s Mitsumatsu first noticed that and Anosov vector field also belongs to the intersection of two transverse contact structures rotating towards each other. After giving the necessary background I will use this point of view to address questions in surgery theory on Anosov flows and contact structures.