Delta-groupoids and ideal triangulations

Details Delta-groupoids and ideal triangulations Delta-groupoids and ideal triangulations

2010-01-18

arxiv.org/abs/1001.3030v1

Mathematics

Geometric Topology

15 pages, submitted to proceedings of the Chern-Simons gauge theory conference held in Bonn 2009

Scientific paper

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.

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