Topology Atlas | Conferences

Knots in Washington XLIII; 60th birthday of J. Scott Carter
December 9-11, 2016
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Weakness of two surface-knot theory models
by
Jonathan Schneider
University of Illinois Chicago
Coauthors: Eiji Ogasa, Louis Kauffman

We consider two 2-dimensional diagrammatic knot theories and an invariant model for each. The Rourke model for Rotwelded surface-knot theory is non-complete; that is, there exist distinct Rotwelded surface-knots with equivalent Rourke models. We provide an example of such. Also, the Eiji model for Virtual surface-knot theory is non-complete; we provide an example of this as well.

Date received: November 2, 2016

Copyright © 2016 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 # cbnq-14.