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Delta-groupoids in knot theory |
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Author | ||
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. | |
Identifiers | arXiv: 0908.1261v1 | |
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Citation (ISO format) | KASHAEV, Rinat Mavlyavievich. Delta-groupoids in knot theory. 2009. https://archive-ouverte.unige.ch/unige:12037 |