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Bordered Heegaard Floer homology


Speaker: Peter Ozsvath, Columbia University, MSRI
Location: 2112 MSB
Start time: Tue, Mar 9 2010, 4:10PM

Heegaard Floer homology is an invariant for closed three-manifolds defined using ideas from symplectic geometry. I will describe a one lower-dimensional analogue, which associates a differential graded algebra to a surface, and a module to a three-manifold with boundary. Closed three-manifold invariants can be reconstructed using a "pairing theorem" for these invariants. This is on-going research with Robert Lipshitz and Dylan Thurston.