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Symplectic Dynamics/Geometry Seminar

Getting a handle on contact manifolds

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.

Featuring

Kevin Sackel

Speaker Affiliation

Massachusetts Insitute of Technology

Affiliation

Mathematics

Event Series

Date & Time
February 11, 2019 | 3:305:00pm

Location

Princeton University, Fine 224

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