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.
Homotopical operadic calculus in positive characteristic, arXiv.2310.13095
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Localized dg-coalgebras over a field are equivalent to coalgebras over cofibrant enriched ∞-operads via induction on cell attachments, yielding point-set models for E_n-coalgebras and cellular chains.
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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.
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Point-set models for homotopy coherent coalgebras
Localized dg-coalgebras over a field are equivalent to coalgebras over cofibrant enriched ∞-operads via induction on cell attachments, yielding point-set models for E_n-coalgebras and cellular chains.