Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Painleve equations from Nakajima-Yoshioka blowup relations   Gamayun, Iorgov and Lisovyy in 2012 proposed that tau function of the
Painlev\'e equation is equal to the series of $c=1$ Virasoro conformal blocks.
We study similar series of $c=-2$ conformal blocks and relate it to Painlev\'e
theory. The arguments are based on Nakajima-Yoshioka blowup relations on
Nekrasov partition functions. We also study series of $q$-deformed $c=-2$
conformal blocks and relate it to $q$-Painlev\'e equation. As an application,
we prove formula for the tau function of $q$-Painlev\'e $A_7^{(1)'}$ equation.

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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: adap-org