Bordered Floer Homology

Geometry Topology Student Seminar
Wednesday, April 15, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Sally Collins – Georgia Tech
Hongyi Zhou

Bordered Floer homology, due to Lipshitz, Ozsváth, and Thurston, is a Heegaard Floer homology theory for 3-manifolds with connected boundary. This theory associates to the boundary surface (with suitable parameterization) a differential graded algebra A(Z). Our invariant comes in two versions: a left differential (type D) module over A(Z), or its dual, a right A-infinity (type A) module over A(Z). In this talk, we will focus on the case of 3-manifolds with torus boundary, and will explicitly describe how to compute type D structures of knot complements.