4:00–5:00 pm Eckhart 202, 5734 S. University Ave
Bordered Floer homology
Bordered Floer homology is an invariant for three-manifolds, which sets up a Mayer-Vietoris like description of Heegaard Floer homology. To a surface \(S\), this theory associates an algebra \(A(S)\); to a bordered three-manifold with boundary \(S\), it associates a module over \(A(S)\); and to a pair of three manifolds, each with boundary \(S\), it expresses the Heegaard Floer homology of the glued up closed three manifold in terms of the modules associated to the two pieces. This invariant was formulated and computed in several cases, including, originally, for the \(U=0\) specialization of Heegaard Floer homology. I hope to describe some rec