Topology Seminar: Jonathan Hanselman

  • Date: 11/28/2018
  • Time: 14:45
Lecturer(s):
Jonathan Hanselman, Princeton
Location: 

University of British Columbia

Topic: 

Heegaard Floer invariants for manifolds with torus boundary

Description: 

To a 3-manifold with torus boundary, we can associate an element of the Fukaya category of the punctured torus—that is, a collection of immersed curves in the torus, decorated with local systems—such that when two such manifolds are glued the Heegaard Floer homology of resulting 3-manifold is recovered from Floer homology of the corresponding curves. These curves are a reformulation of the bordered Heegaard Floer defined by Lipshitz, Ozsvath, and Thurston, but their geometric nature makes them more user friendly. We will discuss some properties of these curves and some applications, including invariance of Heegaard Floer homology under genus one mutation and a rank inequality for Heegaard Floer homology of toroidal manifolds. This is joint work with J. Rasmussen and L. Watson.

Other Information: 

ESB 4133 (PIMS)