Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Melvin-Morton conjecture and primitive Feynman diagrams   We give a very short proof of the Melvin-Morton conjecture relating the
colored Jones polynomial and the Alexander polynomial of knots. The proof is
based on the explicit evaluation of the corresponding weight systems on
primitive elements of the Hopf algebra of chord diagrams which, in turn,
follows from simple identities between four-valent tensors on the Lie algebra
$sl_2$ and the Lie superalgebra $gl(1|1)$. This shows that the miraculous
connection between the Jones and Alexander invariants follows from the
similarity (supersymmetry) between $sl_2$ and $gl(1|1)$.

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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
1
The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ