Homology of En ring spectra and iterated THH

Basterra, Maria; Mandell, Michael A

doi:10.2140/agt.2011.11.939

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Homology of $E_{n}$ ring spectra and iterated $\mathit{THH}$

Maria Basterra and Michael A Mandell

Algebraic & Geometric Topology 11 (2011) 939–981

DOI: 10.2140/agt.2011.11.939

Abstract

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

Keywords

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

Mathematical Subject Classification 2000

Primary: 55P43

Secondary: 55P48

References

Publication

Received: 2 August 2010

Revised: 29 December 2010

Accepted: 7 January 2011

Published: 25 March 2011

Authors

Maria Basterra
Department of Mathematics University of New Hampshire Durham, NH USA

Michael A Mandell
Department of Mathematics Indiana University Bloomington, IN USA

Volume 11, issue 2 (2011)