The mod 2 homology of free spectral Lie algebras

Antolín Camarena, Omar

doi:10.1090/tran/8131

The mod homology of free spectral Lie algebras

Author: Omar Antolín Camarena
Journal: Trans. Amer. Math. Soc. 373 (2020), 6301-6319
MSC (2010): Primary 55P43, 55S99, 55S12
DOI: https://doi.org/10.1090/tran/8131
Published electronically: June 24, 2020
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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 homology operations for algebras over this operad and prove that these operations account for all the mod homology of free algebras on suspension spectra of simply connected spaces.

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