Bordered Floer homology and the contact category

Bordered Floer homology and the contact category

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Rumen Zarev, Columbia University
Fine Hall 314

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.