Topology Atlas | Conferences

Knots in Washington XXXVII
January 19-20, 2014
George Washington University
Washington, DC, USA

Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU and UMCP), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Comparing the slice and ribbon genera of knots via braided surfaces
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.