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Bounding the topological slice genus using the Seifert pairing.
by
Peter Feller
Boston College
We present upper bounds for the topological slice genus of knots and links given by a simple criterion on their Seifert form. The main ingredient in the proof is Freedman's disk theorem.
The criterion yields surprising consequences for simple families of knots that contrast smooth results such as the Thom conjecture.
Parts of the talk are based on joint work with McCoy and Baader, Lewark, and Liechti.
Date received: October 19, 2015
Copyright © 2015 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 # cblw-12.