3D convex contact forms and the Ruelle invariant

Oliver Edtmair

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.

https://www.ias.edu/video/3d-convex-contact-forms-and-ruelle-invariant