Delta-groupoids and ideal triangulations
Geometric Topology
2010-01-19 v1 Group Theory
Abstract
A Delta-groupoid is an algebraic structure which axiomatizes the combinatorics of a truncated tetrahedron. By considering two simplest examples coming from knot theory, we illustrate how can one associate a Delta-groupoid to an ideal triangulation of a three-manifold. We also describe in detail the rings associated with the Delta-groupoids of these examples.
Cite
@article{arxiv.1001.3030,
title = {Delta-groupoids and ideal triangulations},
author = {R. M. Kashaev},
journal= {arXiv preprint arXiv:1001.3030},
year = {2010}
}
Comments
15 pages, submitted to proceedings of the Chern-Simons gauge theory conference held in Bonn 2009