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2011 Homology of $E_{n}$ ring spectra and iterated $\mathit{THH}$
Maria Basterra, Michael A Mandell
Algebr. Geom. Topol. 11(2): 939-981 (2011). DOI: 10.2140/agt.2011.11.939

Abstract

We describe an iterable construction of THH for an En ring spectrum. The reduced version is an iterable bar construction and its nth iterate gives a model for the shifted cotangent complex at the augmentation, representing reduced topological Quillen homology of an augmented En algebra.

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Maria Basterra. Michael A Mandell. "Homology of $E_{n}$ ring spectra and iterated $\mathit{THH}$." Algebr. Geom. Topol. 11 (2) 939 - 981, 2011. https://doi.org/10.2140/agt.2011.11.939

Information

Received: 2 August 2010; Revised: 29 December 2010; Accepted: 7 January 2011; Published: 2011
First available in Project Euclid: 19 December 2017

zbMATH: 1219.55007
MathSciNet: MR2782549
Digital Object Identifier: 10.2140/agt.2011.11.939

Subjects:
Primary: 55P43
Secondary: 55P48

Keywords: $E_{n}$ ring spectrum , $THH$ , bar construction , Quillen homology

Rights: Copyright © 2011 Mathematical Sciences Publishers

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