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 | References | Similar Articles | Additional Information
Abstract: The Goodwillie derivatives of the identity functor on pointed spaces form an operad 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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Additional Information
Omar Antolín Camarena
Affiliation:
Institute of Mathematics, UNAM, Mexico City, Mexico
Email:
omar@matem.unam.mx
DOI:
https://doi.org/10.1090/tran/8131
Keywords:
Goodwillie calculus,
homology operations
Received by editor(s):
December 1, 2016
Received by editor(s) in revised form:
December 31, 2019
Published electronically:
June 24, 2020
Article copyright:
© Copyright 2020
American Mathematical Society