University of Arkansas Topology Seminar: 1/9/2014

Speaker: Ken Baker

Title: Non-looseness of non-loose knots

Abstract: A contact structure on a 3−manifold is called overtwisted if there is a certain kind of embedded disk called an overtwisted disk; it is tight if no such disk exists. A Legendrian knot in an overtwisted contact 3−manifold is loose if its complement is overtwisted and non-loose if its complement is tight. We define and compare two geometric invariants, depth and tension, that measure how far from loose is a non-loose knot. This is joint work with Sinem Onaran.