Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Introduction to Bennequin's Inequality
Speaker: Balarka Sen, TIFR, Mumbai
Date: August 26, 2024
Time: 15:00:00 Hours
Venue: A-369
Abstract: A contact structure on a 3-manifold is a nowhere-integrable plane field on the manifold. Of particular interest are contact structures which are ?tight?, in which case the geometry of the contact structure is sufficiently complicated. We focus our discussion to a semi-local study of contact structures near embedded surfaces (possibly, with boundary) in the manifold. As a consequence, we deduce the Thurston-Bennequin inequality for Legendrian knots in tight contact 3-manifolds. We discuss some modest applications, and time permitting, indicate several ambitious ones.
Title of Talk: Introduction to Bennequin's Inequality
Speaker: Balarka Sen, TIFR, Mumbai
Date: August 26, 2024
Time: 15:00:00 Hours
Venue: A-369
Abstract: A contact structure on a 3-manifold is a nowhere-integrable plane field on the manifold. Of particular interest are contact structures which are ?tight?, in which case the geometry of the contact structure is sufficiently complicated. We focus our discussion to a semi-local study of contact structures near embedded surfaces (possibly, with boundary) in the manifold. As a consequence, we deduce the Thurston-Bennequin inequality for Legendrian knots in tight contact 3-manifolds. We discuss some modest applications, and time permitting, indicate several ambitious ones.