Delta-groupoids in knot theory
Geometric Topology
2009-08-11 v1
Abstract
A Delta-groupoid is an algebraic structure which axiomitizes the combinatorics of a truncated tetrahedron. It is shown that there are relations of Delta-groupoids to rings, group pairs, and (ideal) triangulations of three-manifolds. In particular, one can associate a Delta-groupoid to ideal triangulations of knot complements. It is also possible to define a homology theory of Delta-groupoids. The constructions are illustrated by examples coming from knot theory.
Cite
@article{arxiv.0908.1261,
title = {Delta-groupoids in knot theory},
author = {R. M. Kashaev},
journal= {arXiv preprint arXiv:0908.1261},
year = {2009}
}
Comments
24 pages, no figures