# Loops are loops

• Jake Rasmussen, Cambridge
• Wednesday 09 March 2016, 16:00-17:00
• MR13.

I’ll describe a geometrical interpretation of the loop calculus for bordered Floer homology introduced by Hanselman and Watson. To an oriented 3-manifold with torus boundary whose Floer homology is of loop type, we associate an immersed curve in the complement of a point in \partial M. If we glue two such manifolds together, HF^hat of the resulting closed manifold is the Lagrangian Floer homology of the corresponding curves. I’ll give some applications to the problem of understanding when a manifold which contains an incompressible torus is an L-space. Joint with Jonathan Hanselman and Liam Watson.

This talk is part of the Differential Geometry and Topology Seminar series.