Topology Atlas | Conferences

Knots in the Triangle (Knots kNot in Washington)
April 29 - May 1, 2016
North Carolina State University
Raleigh NC, 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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Equivalence of "graphic" and älgebraic" definitions of set-theoretic Yang-Baxter homology
by
Xiao Wang
The George Washington University
Coauthors: Jozef Przytycki

In 2004, Carter, Elhamdadi and Saito defined a homology theory for the set-theoretic Yang-Baxter operator. In 2012, Przytycki defined another homology theory for Yang-Baxter operator which has a nice graphic visualization. We show that they are equivalent in the sense that they give the same homology group.

Date received: April 26, 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 # cbmk-43.