Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation stability for homotopy groups of configuration spaces   We prove that the dual rational homotopy groups of the configuration spaces
of a 1-connected manifold of dimension at least 3 are uniformly representation
stable in the sense of Church, and that their derived dual integral homotopy
groups are finitely-generated as FI-modules in the sense of
Church-Ellenberg-Farb. This is a consequence of a more general theorem relating
properties of the cohomology groups of a 1-connected co-FI-space to properties
of its dual homotopy groups. We also discuss several other applications.

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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: eess