Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: DAHA and plane curve singularities   We suggest a relatively simple and totally geometric conjectural description
of uncolored DAHA superpolynomials of arbitrary algebraic knots (conjecturally
coinciding with the reduced stable Khovanov-Rozansky polynomials) via the
flagged Jacobian factors (new objects) of the corresponding unibranch plane
curve singularities. This generalizes the Cherednik-Danilenko conjecture on the
Betti numbers of Jacobian factors, the Gorsky combinatorial conjectural
interpretation of superpolynomials of torus knots and that by Gorsky-Mazin for
their constant term. The paper mainly focuses on non-torus algebraic knots. A
connection with the conjecture due to Oblomkov-Rasmussen-Shende is possible,
but our approach is different. A motivic version of our conjecture is related
to p-adic orbital A-type integrals for anisotropic centralizers.

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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom