Topology Atlas | Conferences

Knots in Washington XXXIV; Categorification of Knots, Quantum Invariants and Quantum Computing
March 14-16, 2012
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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Torsion in 1-term Distributive Homology
by
Alissa S Crans
Loyola Marymount University
Coauthors: Jozef H. Przytycki, Krzysztof Putyra

In recent years, operations satisfying self-distributivity, (a * b) * c = (a * c) * (b * c), have secured an important role in knot theory. Sets equipped with such operations are known as "shelves".

Przytycki and Sikora proposed a conjecture about the homology of a certain class of shelves, which we proved. We will discuss the conjecture and its proof.

Date received: March 14, 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 # cbek-24.