Topology Atlas | Conferences

Conference on Knot Theory and Its Applications to Physics and Quantum Computing; 60th birthday of Jozef H. Przytycki
January 6-9, 2015
University of Texas at Dallas
Richardson, TX, USA

Organizers
Mieczyslaw K. Dabkowski (UTD) Tobias Hagge (UTD) Valentina S. Harizanov (GWU) Viswanath Ramakrishna (UTD) Radmila Sazdanovic (NCSU) Adam S. Sikora (SUNYUB)

Conference Homepage


Group-quandle homology
by
Masahico Saito
University of South Florida
Coauthors: J.S. Carter, A. Ishii, K. Tanaka

Quandle homology theories have been constructed in analogy to group homology, and applied to classical knots and knotted surfaces. There are quandles in which group operations are partially defined, such that the two operations satisfy certain compatibility conditions. In this talk, such structures are presented, and their homology theory is defined that uses both group and quandle operations. A degenerate subcomplex is defined for triangulations of prisms, and cocycle invariants are defined from this homology theory for handle-body links.

Date received: December 13, 2014

Copyright © 2014 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 # cbjz-54.