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Homology theory of non-degenerate involutive set-theoretic solutions to the Yang-Baxter equation
by
Seung Yeop Yang
University of Denver
Coauthors: Marco Bonatto, Michael K. Kinyon, David Stanovský, Petr Vojtěchovský
Wolfgang Rump showed that there is a one-to-one correspondence between non-degenerate involutive solutions to the Yang-Baxter equation and bijective rumples. In 2004, a homology theory for set-theoretic Yang-Baxter equations was introduced by Carter, Elhamdadi, and Saito. In this talk, we construct a set-theoretic Yang-Baxter (co)homology theory for bijective rumples and define rumple cocycle invariants of links.
Date received: April 27, 2018
Copyright © 2018 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 # cboy-32.