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Department of Mathematics, University of California 2010 Chern Lectures: "Lecture 3: Bordered Floer homology"
Tue, April 20, 2010 4:00PM - 5:00PM
Time:4:00PM - 5:00PM
Location:UC Berkeley, Sibley Auditorium, Bechtel Hall
Speakers:Peter Ozsváth, Peter Ozsváth
Abstract:I will describe an extension of the U=0 specialization of Heegaard Floer homology, HF, to three-manifolds with parameterized boundary. The resulting theory, bordered Floer homology, associates a differential algebra to an oriented two-manifold, and a differential module module over that algebra to a three-manifold with boundary. These differential modules can also be used to reconstruct HF for closed three-manifolds. This is joint work with Robert Lipshitz and Dylan Thurston.