3D convex contact forms and the Ruelle invariant

Is every dynamically convex contact form on the three sphere convex? In this talk I will explain why the answer to this question is no. The strategy is to derive a lower bound on the Ruelle invariant of convex contact forms and construct dynamically convex contact forms violating this lower bound. This is based on joint work with Julian Chaidez.

Date

Speakers

Oliver Edtmair

Affiliation

Berkeley