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Delta-groupoids in knot theory

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Year 2009
Description 24 p.
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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KASHAEV, Rinat Mavlyavievich. Delta-groupoids in knot theory. 2009. https://archive-ouverte.unige.ch/unige:12037

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Deposited on : 2010-10-05

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