Comparing the slice and ribbon genera of knots via braided surfaces

Series
Geometry Topology Seminar
Time
Monday, January 27, 2014 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Mark Hughes – SUNY, Stony Brook
Organizer
John Etnyre
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.