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Knots in Washington XXXIII; Categorification of Knots, Algebras, and Quandles; Quantum Computing
December 2-4, 2011
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU),Mark Kidwell (U.S. Naval Academy and GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Introducing knotted n-foams and how to construct invariants thereof
by
J. Scott Carter
University of South Alabama
Coauthors: Masahico Saito

The boundary of a surface foam is an trivalent graph. Analogously, a 3-foam can be defined that has a surface foam as its boundary. In this talk, I introduce the idea of a knotted n-foam and indicate how a homology theory of G-families of quandles is tailor-made to construct invariants of these knotted quantities. I will also give some interesting examples of 2-foams and indicate how to compute the cocycle invariants.

Date received: October 20, 2011

Copyright © 2011 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 # cbdt-06.