Comparing the slice and ribbon genera of knots via braided surfaces

Geometry Topology Seminar
Monday, January 27, 2014 - 14:00
1 hour (actually 50 minutes)
Skiles 006
SUNY, Stony Brook
In this talk I will discuss bounds on the slice genus of aknot coming from it's representation as a braid closure, starting withthe slice-Bennequin inequality.  From there I will use surfacebraiding techniques of Rudolph and Kamada to exhibit a new lower boundon the ribbon genus of a knot, given some knowledge about what slicesurfaces it bounds.