Topology Atlas | Conferences

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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Virtual Shadow Modules and their Link Invariants
by
Sam Nelson
Claremont McKenna College
Coauthors: Jackson Blankstein, Susan Kim, Catherine Lepel, Nicole Sanderson

Representations of the virtual shadow algebra and its twisted virtual analogue are used to enhance the counting invariant of virtual and twisted virtual knots. We will show that these enhanced invariants are sensitive to orientation and can distinguish knots not distinguished by the Miyazawa polynomial, the Arrow polynomial and the twisted Jones polynomial.

Date received: October 27, 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-10.