## Stein fillings of cotangent bundles of surfaces

Jeremy van Horn Morris

University of Arkansas

April 7, 2016

I'll outline recent results with Steven Sivek classifying the Stein fillings, up to topological homotopy equivalence, of the canonical contact structure on the unit cotangent bundle of a surface. The proof begins with Li, Mak and Yasui's technology for Calabi-Yau caps.