Integrality of Kauffman brackets of trivalent graphs (Q407396)
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scientific article; zbMATH DE number 6337006
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrality of Kauffman brackets of trivalent graphs |
scientific article; zbMATH DE number 6337006 |
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Integrality of Kauffman brackets of trivalent graphs (English)
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1 September 2014
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The paper under review proves that a certain renormalization of the Kauffman brackets of framed graphs (also known as quantum spin networks) is integral. This proves a conjecture of \textit{S. Garoufalidis} and \textit{R. van der Veen} [Geom. Topol. 17, No. 1, 1--37 (2013; Zbl 1277.57020)]. The latter sections of the paper relate several different constructions of the renormalized Kauffman bracket, for quantum spin networks with and without boundary.
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spin networks
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quantum invariants
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Jones polynomials
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trivalent graphs
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Kauffman bracket
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state sum
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\(6j\) symbol
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\(R\)-matrix
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