Legendrian contact homology and products of Legendrian knots

Geometry Topology Seminar
Monday, April 15, 2013 - 2:00pm
1 hour (actually 50 minutes)
Skiles 006
Legendrian contact homology is an invariant in contact geometry that assigns to each Legendrian submanifold a dg-algebra.  While well-defined, it depends upon counts of holomorphic curves that can be hard to calculate in practice.  In this talk, we introduce a class of Legendrian tori constructed as the product of collections of Legendrian knots.  For this class, we discuss how to explicitly compute the dg-algebra invariant of the tori in terms of diagram projections of the constituent Legendrian knots.