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Homology of En ring spectra and iterated 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 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.

Keywords

THH, bar construction, En ring spectrum, Quillen homology
Mathematical Subject Classification

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