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- W2963266716 abstract "Abstract 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 [6], and that their derived dual integral homotopy groups are finitely generated as <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>𝖥𝖨</m:mi> </m:math> {{mathsf{FI}}} -modules in the sense of [4]. This is a consequence of a more general theorem relating properties of the cohomology groups of a 1-connected co- <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>𝖥𝖨</m:mi> </m:math> {{mathsf{FI}}} -space to properties of its dual homotopy groups. We also discuss several other applications, including free Lie and Gerstenhaber algebras." @default.
- W2963266716 created "2019-07-30" @default.
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- W2963266716 date "2015-07-31" @default.
- W2963266716 modified "2023-09-25" @default.
- W2963266716 title "Representation stability for homotopy groups of configuration spaces" @default.
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- W2963266716 doi "https://doi.org/10.1515/crelle-2015-0038" @default.
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