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Knots in Washington XXXII, Categorification of Knots, Algebras, and Quandles; Quantum Computing
April 29 - May 1, 2011
George Washington University
Washington, DC, USA

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

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BiKei and unoriented link invariants
by
Sam Nelson
Claremont McKenna College
Coauthors: Sinan Aksoy

We define involutory biracks and biquandles (also known as BiKei) and use them to define counting invariants and enhanced counting invariants of unoriented knots and links. As an application, we will see a non-involutory biquandle whose counting invariant detects the non-invertibility of a virtual knot, answering a question of Xiao-Song Lin.

Paper reference: arXiv:1102.1473

Date received: March 21, 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 # cbcc-05.