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Bridge number and diagrams of surface links in the 4-sphere
by
Alex Zupan
UT Austin
Coauthors: David Gay, Jeffrey Meier
Adapting work of Gay and Kirby on 4-manifolds, we introduce the notion of a bridge trisection for a surface link, which may be viewed as an analogue of a classical bridge decomposition for a link in the 3-sphere. A bridge trisection yields a presentation of a surface link as a triple of planar tangle diagrams. We discuss evidence that these triples can be used to convert classical knot invariants to dimension 4.
Date received: December 12, 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 # cbjz-50.