Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Meromorphic Painlev\'e III transcendents and the Joukowski
  correspondence   We study a twistor correspondence based on the Joukowski map reduced from one
for stationary-axisymmetric self-dual Yang-Mills and adapt it to the Painlev\'e
III equation. A natural condition on the geometry (axissimplicity) leads to
solutions that are meromorphic at the fixed singularity at the origin. We show
that it also implies a quantisation condition for the parameter in the
equation. From the point of view of generalized monodromy data, the condition
is equivalent to triviality of the Stokes matrices and half-integral exponents
of formal monodromy. We obtain canonically defined representations in terms of
a Birkhoff factorization whose entries are related to the data at the origin
and the Painlev\'e constants.

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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex