Non-looseness of non-loose knots

Series: 
Geometry Topology Seminar
Monday, March 3, 2014 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
University of Miami
Organizer: 
 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.