On the Odd Primary Homology of Free Algebras over the Spectral Lie Operad
Jens Jakob Kjaer
TL;DR
This paper extends the computation of mod p homology for free algebras over the spectral Lie operad from mod 2 to odd primes p, advancing understanding in spectral algebraic topology.
Contribution
It provides new calculations of mod p homology for free algebras over the spectral Lie operad at odd primes, generalizing previous mod 2 results.
Findings
Computed mod p homology for odd primes p
Extended previous mod 2 homology results
Enhanced understanding of spectral Lie operad structures
Abstract
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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