Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin networks and SL(2,C)-Character varieties   Denote the free group on 2 letters by F_2 and the SL(2,C)-representation
variety of F_2 by R=Hom(F_2,SL(2,C)). The group SL(2,C) acts on R by
conjugation. We construct an isomorphism between the coordinate ring C[SL(2,C)]
and the ring of matrix coefficients, providing an additive basis of
C[R]^SL(2,C) in terms of spin networks. Using a graphical calculus, we
determine the symmetries and multiplicative structure of this basis. This gives
a canonical description of the regular functions on the SL(2,C)-character
variety of F_2 and a new proof of a classical result of Fricke, Klein, and
Vogt.

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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: econ