Delta-groupoids in knot theory

R. M. Kashaev

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arXiv · 0908.1261

Delta-groupoids in knot theory

R. M. Kashaev

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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.

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BibTeX RIS

R. M. Kashaev. 2009-08-10. Delta-groupoids in knot theory. https://arxiv.org/abs/0908.1261

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