Volume 11, issue 2 (2011)

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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
Abstract

We describe an iterable construction of $\mathit{THH}$ 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
Primary: 55P43
Secondary: 55P48