TOPOLOGY SEMINAR

02/10/2011

Rumen Zarev
Columbia

Bordered Floer homology and the contact category

 

Bordered Heegaard Floer homology is a verison of Heegaard Floer homology for 3-manifolds with boundary, developed by Lipshitz, Ozsvath, and Thurston. A key component of the theory is a DG-algebra associated to a parametrized surface F. I will discuss how the homology of this algebra can be naturally identified with a full subcategory of the category of contact structures on Fx[0,1], with convex boundary conditions.