Algebraic structures and legendrian contact homology

Series: 
Geometry Topology Working Seminar
Friday, February 12, 2010 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 269
,  
Georgia Tech
After, briefly, recalling the definition of contact homology, a powerful but somewhat intractable and still largely unexplored invariant of Legendrian knots in contact structures, I will discuss various ways of constructing more tractable and computable invariants from it. In particular I will discuss linearizations, products, massy products, A_\infty structures and terms in a spectral sequence. I will also show examples that demonstrate some of these invariants are quite powerful. I will also discuss what is known and not known about the relations between all of these invariants.