Non-looseness of non-loose knots

Geometry Topology Seminar
Monday, March 3, 2014 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Ken Baker – University of Miami
John Etnyre
A contact structure on a 3-manifold is called overtwisted ifthere is a certain kind of embedded disk called an overtwisted disk; it istight if no such disk exists. A Legendrian knot in an overtwisted contact3-manifold is loose if its complement is overtwisted and non-loose if itscomplement is tight. We define and compare two geometric invariants, depthand tension, that measure how far from loose is a non-loose knot. This isjoint work with Sinem Onaran.