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The mod 2 homology of free spectral Lie algebras

Published 27 Nov 2016 in math.AT | (1611.08771v2)

Abstract: The Goodwillie derivatives of the identity functor on pointed spaces form an operad in spectra. Adapting a definition of Behrens, we introduce mod 2 homology operations for algebras over this operad and prove these operations account for all the mod 2 homology of free algebras on suspension spectra of simply-connected spaces.

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