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Homology of $E_{n}$
ring spectra and iterated $\mathit{THH}$
Maria Basterra and Michael A Mandell |
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Algebraic & Geometric Topology 11 (2011) 939–981
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Abstract |
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We describe an iterable construction of for an ring spectrum. The reduced version is an iterable bar construction and its th iterate gives a model for the shifted cotangent complex at the augmentation, representing reduced topological Quillen homology of an augmented algebra. |
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Keywords
$THH$, bar construction, $E_{n}$ ring spectrum, Quillen
homology
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Mathematical Subject Classification 2000
Primary: 55P43
Secondary: 55P48
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References |
Publication
Received: 2 August 2010
Revised: 29 December 2010
Accepted: 7 January 2011
Published: 25 March 2011
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Authors |
| Maria Basterra | |
| Department of Mathematics University of New Hampshire Durham, NH USA |
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| Michael A Mandell | |
| Department of Mathematics Indiana University Bloomington, IN USA |
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