15:45
Heegaard Floer, taut foliations, and regions of rational surgery slopes
Abstract
Recent tools make it possible to partition the space of rational Dehn
surgery slopes for a knot (or in some cases a link) in a 3-manifold into
domains over which the Heegaard Floer homology of the surgered manifolds
behaves continuously as a function of slope. I will describe some
techniques for determining the walls of discontinuity separating these
domains, along with efforts to interpret some aspects of this structure
in terms of the behaviour of co-oriented taut foliations. This talk
draws on a combination of independent work, previous joint work with
Jake Rasmussen, and work in progress with Rachel Roberts.