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Is a 1-twist spin of a knotted trivalent graph unknotted?
by
Seung Yeop Yang
University of South Alabama
Coauthors: S. Carter
The twist spin of a knotted trivalent graph is a foam that has simple closed branch lines that do not cross. Thus the foam is a surface with addition disks attached. Using an idea of Marumoto and Nakanishi, we show that there is a nontrivial foam obtained by a 1-twist spinning of a knotted theta-curve.
Date received: October 31, 2012
Copyright © 2012 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 # cbfw-17.