Contact homology of Legendrian knots

Series: 
Geometry Topology Working Seminar
Friday, September 19, 2008 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 269
,  
School of Mathematics, Georgia Tech
Organizer: 
This will be an introduction to Legendrian knots (these are interesting knots that blend topological and geometric concepts) and a powerful invariant of Legendrian knots in R^3 called contact homology. On the first pass this invariant is combinatorial and has a lot of interesting algebraic structure. In a future talk (probably a few weeks from now), I will explain more about the analytic side of the theory as well as deeper algebraic aspects. This talk should be accessible anyone interested in topology and geometry.