Contact homology of Legendrian knots

Geometry Topology Working Seminar
Friday, September 19, 2008 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 269
John Etnyre – School of Mathematics, Georgia Tech
John Etnyre
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.