Tightness of positive rational surgeries

Geometry Topology Seminar
Monday, April 6, 2015 - 2:00pm
1 hour (actually 50 minutes)
Skiles 006
University of Virginia
Existence of a tight contact structure on a closed oriented three manifold is still widely open problem. In this talk we will present some work in progress to answer this problem for manifolds that are obtained by Dehn surgery on a knot in three sphere. Our method involves on one side generalizing certain geometric methods due to Baldwin, on the other unfolds certain homological algebra methods due to Ozsvath and Szabo.