Topology Atlas | Conferences

Knots in Washington XLVII
January 20-21, 2019
George Washington University
Washington, DC, United States

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU)

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Skein for the Yang-Baxter Homology
by
Masahico Saito
University of South Florida
Coauthors: Mohamed Elhamdadi, Emanuele Zappala

Homology theories for the Yang-Baxter equation (YBE) have been developed and studied, with applications to knot invariants and deformation theories. We introduce a skein computation for a YBE homology for the R-matrix corresponding to the Jones polynomial. A homology for such a matrix was defined by Przytycki and Wang by normalizing the R-matrix appropriately. We modify the skein relation accordingly for this normalization. Diagrammatic computations of low dimensional homology groups are presented.

Date received: January 5, 2019

Copyright © 2019 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 # cbpq-42.