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.
Pd operads and explicit partition lie algebras
2 Pith papers cite this work. Polarity classification is still indexing.
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Introduces the notion of infinitesimal derived foliation, proves its relation to classical infinitesimal cohomology, and establishes formal integrability properties while comparing to prior derived foliations.
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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.
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Infinitesimal derived foliations
Introduces the notion of infinitesimal derived foliation, proves its relation to classical infinitesimal cohomology, and establishes formal integrability properties while comparing to prior derived foliations.