Geometry/Topology Seminar

Featured Speaker: Hyunki Min (MIT)

Title: Non-Loose torus knots

Abstract
One of the important problems in 3-dimensional contact geometry is to classify Legendrian knots or study various properties of Legendrian knots since they are a rich source of producing new contact manifolds. Ever since Eliashberg classified Legendrian unknots in the standard contact 3-sphere, there has been several attempts to extend this result. For example, Eliashberg and Fraser classified Legendrian unknots in overtwisted contact 3-spheres and Entyre and Honda classified Legendrian torus knots in the standard 3-sphere. In this talk, we will classify Legendrian torus knots in overtwisted 3-spheres. This is a joint work with John Entyre and Anubhav Mukherjee.