Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: dbar-equations, integrable deformations of quasiconformal mappings and
  Whitham hierarchy   It is shown that the dispersionless scalar integrable hierarchies and, in
general, the universal Whitham hierarchy are nothing but classes of integrable
deformations of quasiconformal mappings on the plane. Examples of deformations
of quasiconformal mappings associated with explicit solutions of the
dispersionless KP hierarchy are presented.

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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga