The mod 2 homology of free spectral Lie algebras

2016/11/27 by Omar Antolín Camarena, Camarena, Omar Antolín · 1 citation
Mathematics · #55P43 #55S12 #55S99 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1611.08771

openalex publication_date 2016/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• The Lubin-Tate Theory of Configuration Spaces: I

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