Floer homology of manifolds with torus boundary

Jacob Rasmussen
Taplin Auditorium

The bordered Floer homology of a 3-manifold with torus boundary determines an object in the Fukaya category of the punctured torus. This object takes the form of a collection of immersed curves equipped with local systems. I'll discuss some geometrical properties of this collection of curves, and give some applications to problems about L-spaces. This is joint work with Jonathan Hanselman and Liam Watson.