Jerusalem Mathematics Colloquium

Thursday, 31st July 2008, 4:00 pm
Mathematics Building, Lecture Hall 2

Peter S. Ozsvath
(Columbia University)

"Heegaard Floer homology"

Abstract: Heegaard Floer homology is an invariant for three-manifolds, and four-manifolds, which is defined by counting pseudo-holomorphic curves in a symplectic manifold associated to a Heegaard diagram. I will describe these invariants, along with some more recently-discovered purely combinatorial formulations (in certain special cases), and sketch some topological applications of the theory. Heegaard Floer homology was defined in joint work with Zoltan Szabo; some of the combinatorial formulations include joint work with Zoltan and also Ciprian Manolescu, Sucharit Sarkar, and Dylan Thurston.

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