Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homotopy type of free group character varieties   Let G be a real reductive algebraic group with maximal compact subgroup K,
and let F be a rank r free group. Here, we summarize the construction of a
natural strong deformation retraction from the space of closed orbits in
Hom(F,G)/G to the orbit space Hom(F,K)/K. In particular, these spaces have the
same homotopy type.

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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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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: q-alg