Conormals and contact homology

Series: 
Geometry Topology Working Seminar
Friday, January 18, 2013 - 11:30
1.5 hours (actually 80 minutes)
Location: 
Skiles 006
,  
Ga Tech
Organizer: 

This is the first of 4 or 5, 1.5 hour talks. 

In this series of talks I will begin by discussing the idea of studying smooth manifolds and their submanifolds using the symplectic (and contact) geometry of their cotangent bundles. I will then discuss Legendrian contact homology, a powerful invariant of Legendrian submanifolds of contact manifolds. After discussing the theory of contact homology, examples and useful computational techniques, I will combine this with the conormal discussion to define Knot Contact Homology and discuss its many wonders properties and conjectures concerning its connection to other invariants of knots in S^3.