Topology Atlas | Conferences

Knots in Washington XXXVI
May 3-5, 2013
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Towards unifying group and quandle homology theories
by
Masahico Saito
University of South Florida
Coauthors: J. Scott Carter, Atsushi Ishii

Quandle homology theories have been constructed in analogy of group homology. There are quandles in which associative operations are partially defined, and the two operations satisfy certain compatibility conditions. We present such structures, and propose a homology theory that reflect both operations. Their colorings and cocycles are used to define invariants for handle-body links.

Date received: April 21, 2013

Copyright © 2013 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 # cbhe-08.