Topology Atlas | Conferences

Knots in Washington XXIX; 30 years of quandles, 10 years of Khovanov homology
December 4-6, 2009
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), Yongwu Rong (GWU, NSF), Radmila Sazdanovic (GWU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

Conference Homepage


The second quandle homology of Takasaki keis (quandles)
by
Jozef H. Przytycki
George Washington University
Coauthors: Maciej Niebrzydowski (UL at Lafayette)

Let G be an abelian group and T(G) its Takasaki quandle that is the quandle with g*h = 2h-g. We start the systematic study of the second homology of Takasaki quandles. We show, in particular, that H2(T(Z4k)) = Z22 ⊕Z2. We discuss the conjecture that for T(Zpk) the second homology is equal to Zpn(n-1)/2, for p an odd prime number.

Date received: December 4, 2009

Copyright © 2009 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 # cazp-22.