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Comparing the slice and ribbon genera of knots via braided surfaces
by
Mark Hughes
Stony Brook University
In this talk I will discuss bounds on the slice genus of a knot coming from it's representation as a braid closure, starting with the slice-Bennequin inequality. From there I will use surface braiding techniques of Rudolph and Kamada to exhibit a new lower bound on the ribbon genus of a knot, given some knowledge about what slice surfaces it bounds.
Date received: January 17, 2014
Copyright © 2014 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbid-24.