Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Commuting elements in reductive groups and Higgs bundles on abelian
  varieties   Let G be a connected real reductive algebraic group, and let K be a maximal
compact subgroup of G. We prove that the conjugation orbit space
Hom(Z^{2d},K)/K is a strong deformation retract of the space Hom(Z^{2d},G)/G of
equivalence classes of representations of Z^{2d} into G. This is proved by
showing that the homotopy type of the moduli space of principal G-Higgs bundles
of vanishing rational characteristic classes on a complex abelian variety of
dimension d depends only on K.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga