On the Odd Primary Homology of Free Algebras over the Spectral Lie Operad

Jens Jakob Kjaer

On the Odd Primary Homology of Free Algebras over the Spectral Lie Operad

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arxiv 1608.06605 v3 pith:3PE4E7DN submitted 2016-08-23 math.AT

Jens Jakob Kjaer This is my paper · ORCID

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keywords homologyoperadalgebrasfreespectraantolin-camarenacalculuscarry

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The derivatives of the identity functor on spaces in Goodwillie calculus forms an operad in spectra. Antolin-Camarena computed the mod 2 homology of free algebras over this operad for 1-connected spectra. In this present paper we carry out similar computations for mod p homology for odd primes p.

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The Lubin-Tate Theory of Configuration Spaces: I
math.AT 2019-08 accept novelty 8.0 of 10

A new Hecke spectral sequence computes the Morava E-theory of unordered configuration spaces, yielding explicit E-theory and F_p-homology results for p-point configurations.

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