Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Okounkov's conjecture connecting Hilbert schemes of points and
  multiple q-zeta values   We compute the generating series for the intersection pairings between the
total Chern classes of the tangent bundles of the Hilbert schemes of points on
a smooth projective surface and the Chern characters of tautological bundles
over these Hilbert schemes. Modulo the lower weight term, we verify Okounkov's
conjecture [Oko] connecting these Hilbert schemes and multiple $q$-zeta values.
In addition, this conjecture is completely proved when the surface is abelian.
We also determine some universal constants in the sense of Boissi\' ere and
Nieper-Wisskirchen [Boi, BN] regarding the total Chern classes of the tangent
bundles of these Hilbert schemes. The main approach of this paper is to use the
set-up of Carlsson and Okounkov outlined in [Car, CO] and the structure of the
Chern character operators proved in [LQW2].

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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: eess