Topology Atlas | Conferences

Knots in Washington XXIII; Quandles, their homology and ramifications
November 17-19, 2006
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), przytyck@gwu.edu, Yongwu Rong (GWU), rong@gwu.edu, Alexander Shumakovitch (GWU), shurik@gwu.edu

Conference Homepage


Homology of dihedral quandles I
by
Maciej Niebrzydowski
The George Washington University
Coauthors: Jozef H. Przytycki

We prove nontriviality of the fourth quandle homology of dihedral quandles Rk, for odd prime k, and we discuss torsion in such homology. We also show that the rack homology Hn(Rk) contains Zk for k odd prime and n>2. Of particular importance in these proofs is the operation HRn(Rp)→ HRn+1(Rp), that turns out to be a monomorphism on homology. We expect that many of the techniques that we use can be generalized to other Alexander quandles.

Date received: November 15, 2006

Copyright © 2006 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 # catp-16.