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arxiv: 1007.5315 · v2 · pith:OOLF5AIFnew · submitted 2010-07-29 · 🧮 math.AT

Homology of E_n Ring Spectra and Iterated THH

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keywords constructionhomologyiterablereducedringalgebraaugmentationaugmented
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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.

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