External edge condition and group cohomologies associated with the quantum Clebsch-Gordan condition

Details External edge condition and group cohomologies associated with the quantum Clebsch-Gordan condition External edge condition and group cohomologies associated with the quantum Clebsch-Gordan condition

2007-08-30

arxiv.org/abs/0708.4190v2

Mathematics

Geometric Topology

9 pages, 6 figures ; introduction revised ; comment before theorem 4.3 added ; remark 4.3 deleted ; statements in section 5 im

Scientific paper

In this article we determine the structure of a twisted first cohomology group of the first homology of a trivalent graph with a coefficient associated with the quantum Clebsch-Gordan condition. As an application we give a characterization of a combinatorial property, the external edge condition, which is defined by the author in the study of the Heisenberg representation on the TQFT-module.

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