|
Organizers |
Geometric realizations of distributive structure homology and shadow homotopy invariants.
by
Seung Yeop Yang
The George Washington University
Coauthors: Jozef H. Przytycki
In 1993, Fenn, Rourke, and Sanderson introduced rack spaces and constructed rack homotopy invariants, and a modication to quandle spaces and quandle homotopy invariants of classical links was introduced by Nosaka in 2011.
In analogy to rack and quandle spaces, we define the Cayley-type graph and CW complex of a distributive structure and study their properties. Moreover, for a quandle we introduce the shadow homotopy invariant of classical links.
Date received: April 19, 2016
Copyright © 2016 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 # cbmk-37.