{ "id": "1007.5315", "version": "v2", "published": "2010-07-29T20:05:34.000Z", "updated": "2010-12-30T00:27:32.000Z", "title": "Homology of E_n Ring Spectra and Iterated THH", "authors": [ "Maria Basterra", "Michael A. Mandell" ], "comment": "Some additional exposition added. Minor corrections", "journal": "Algebraic & Geometric Topology 11 (2011), 939-981", "doi": "10.2140/agt.2011.11.939", "categories": [ "math.AT" ], "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.", "revisions": [ { "version": "v2", "updated": "2010-12-30T00:27:32.000Z" } ], "analyses": { "subjects": [ "55P43", "55P48" ], "keywords": [ "ring spectrum", "iterated thh", "shifted cotangent complex", "iterable bar construction", "representing reduced topological quillen homology" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1007.5315B" } } }