Annular Rasmussen invariants: Properties and 3-braid classification

Geometry Topology Seminar
Monday, February 3, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Gage Martin – Boston College –
Miriam Kuzbary

Annular Rasmussen invariants are invariants of braid closures which generalize the Rasmussen s invariant and come from an integer bifiltration on Khovanov-Lee homology. In this talk we will explain some connections between the annular Rasmussen invariants and other topological information. Additionally we will state theorems about restrictions on the possible values of annular Rasmussen invariants and a computation of the invariants for all 3-braid closures, or conjugacy classes of 3-braids. Time permitting, we will sketch some proofs.