Delta-groupoids and ideal triangulations
classification
🧮 math.GT
math.GR
keywords
delta-groupoiddelta-groupoidsexamplesidealalgebraicassociateassociatedaxiomatizes
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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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