- Geometry Topology Working Seminar
- Friday, September 25, 2009 - 3:00pm for 2 hours
- Skiles 269
- Anh Tran – Georgia Tech
- Meredith Casey
Please Note: (This is a 2 hour lecture.)
In this talk I will give a quick review of classical invariants of Legendrian knots in a 3-dimensional contact manifold (the topological knot type, the Thurston-Bennequin invariant and the rotation number). These classical invariants do not completely determine the Legendrian isotopy type of Legendrian knots, therefore we will consider Contact homology (aka Chekanov-Eliashberg DGA), a new invariant that has been defined in recent years. We also discuss the linearization of Contact homology, a method to extract a more computable invariant out of the DGA associated to a Legendrian knot.