Bordered Floer Homology via Immersed Curves

Series
Geometry Topology Student Seminar
Time
Wednesday, April 22, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Location
Online
Speaker
Sally Collins – Georgia Tech
Organizer
Hongyi Zhou

In the setting of manifolds with connected torus boundary, we can reinterpret bordered invariants as immersed curves in the once punctured torus. This machinery, due to Hanselman, Rasmussen, and Watson, is particularly useful in the context of knot complements. We will show how a type D structure can be viewed as a multicurve in the boundary of a manifold, and we will consider how the operation of cabling acts on this new invariant. If time permits, we will discuss how to extract concordance invariants from the curves.