Symplectic Dynamics/Geometry Seminar

Topic: Getting a handle on contact manifolds

Speaker: Kevin Sackel

Affiliation: Massachusetts Insitute of Technology

Date & Time: Monday February 11th, 2019, 3:30pm - 5:00pm

Location: Princeton University, Fine 224

Analogous to Weinstein structures in symplectic geometry, there is a notion of convex structures in contact geometry. We discuss an explicit surgery theory for contact manifolds with convex structures, showing that they naturally decompose into handles, just like in the Weinstein setting. We also explore the relationship between these handle decompositions and Weinstein open books, proving as a corollary that every closed contact manifold has a convex structure, and hence a handle decomposition.