Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: DAHA approach to iterated torus links   We extend the construction of the DAHA-Jones polynomials for any reduced root
systems and DAHA-superpolynomials in type A from the iterated torus knots (our
previous paper) to links, including arbitrary algebraic links. Such a passage
essentially corresponds to the usage of the products of Macdonald polynomials
and is directly connected to the so-called splice diagrams. The specialization
t=q of our superpolynomials conjecturally results in the HOMFLY-PT polynomials.
The relation of our construction to the stable Khovanov-Rozansky polynomials
and the so-called ORS-polynomials of the corresponding plane curve
singularities is expected for algebraic links in the uncolored case. These 2
connections are less certain, since the Khovanov-Rozansky theory for links is
not sufficiently developed and the ORS polynomials are quite involved. However
we provide some confirmations. For Hopf links, our construction produces the
DAHA-vertex, similar to the refined topological vertex, which is an important
part of our paper.

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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg