Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Classification of tight contact structures on some Seifert fibered manifolds
Speaker: Tanushree Shah
Date: January 2, 2023
Time: 16:00:00 Hours
Venue: A-369
Abstract: I will start by introducing contact structures. They come in two flavors: tight and overtwisted. Classification of overtwisted contact structures is well understood as opposed to tight contact structures. Tight contact structures have been classified on some 3 manifolds like S^3, R^3, Lens spaces, toric annuli, and almost all Seifert fibered manifolds with 3 exceptional fibers. We look at classification on one example of the Seifert fibered manifold with 4 exceptional fibers. I will explain the Legendrian surgery and convex surface theory which help us calculate the lower bound and upper bound of a number of tight contact structures. If time permits I will show how this method can be generalized for classification on a wider class of Seifert fibered manifolds.
Title of Talk: Classification of tight contact structures on some Seifert fibered manifolds
Speaker: Tanushree Shah
Date: January 2, 2023
Time: 16:00:00 Hours
Venue: A-369
Abstract: I will start by introducing contact structures. They come in two flavors: tight and overtwisted. Classification of overtwisted contact structures is well understood as opposed to tight contact structures. Tight contact structures have been classified on some 3 manifolds like S^3, R^3, Lens spaces, toric annuli, and almost all Seifert fibered manifolds with 3 exceptional fibers. We look at classification on one example of the Seifert fibered manifold with 4 exceptional fibers. I will explain the Legendrian surgery and convex surface theory which help us calculate the lower bound and upper bound of a number of tight contact structures. If time permits I will show how this method can be generalized for classification on a wider class of Seifert fibered manifolds.