The mod 2 homology of free spectral Lie algebras

Antolín Camarena, Omar

doi:10.1090/tran/8131

The mod $2$ homology of free spectral Lie algebras
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by Omar Antolín Camarena PDF

Trans. Amer. Math. Soc. 373 (2020), 6301-6319 Request permission

Abstract:

The Goodwillie derivatives of the identity functor on pointed spaces form an operad $\partial _\ast (\mathrm {Id})$ in spectra. Adapting a definition of Behrens, we introduce mod $2$ homology operations for algebras over this operad and prove that these operations account for all the mod $2$ homology of free algebras on suspension spectra of simply connected spaces.

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