Explicit chain complexes and spectral sequences compute homology of configuration spaces in positive characteristic, lifting Knudsen's theorem, with a conjecture on twisted coalgebra equivalences implying homotopy invariance.
Goodwillie Calculus
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abstract
We survey the theory and applications of Goodwillie's calculus of homotopy functors and related topics.
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2026 1verdicts
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Homology of configuration spaces in positive characteristic via point-set constructions
Explicit chain complexes and spectral sequences compute homology of configuration spaces in positive characteristic, lifting Knudsen's theorem, with a conjecture on twisted coalgebra equivalences implying homotopy invariance.