Formality of the homotopy calculus algebra of Hochschild (co)chains

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dc.creatorDolgushev, Vasiliy
dc.creatorTamarkin, Dmitry
dc.creatorTsygan, Boris
dc.date2008-07-31
dc.date.accessioned2026-07-07T09:54:02Z
dc.date.available2026-07-07T09:54:02Z
dc.descriptionThe Kontsevich-Soibelman solution of the cyclic version of Deligne's conjecture and the formality of the operad of little discs on a cylinder provide us with a natural homotopy calculus structure on the pair (C^*(A), C_*(A)) ``Hochschild cochains + Hochschild chains'' of an associative algebra A. We show that for an arbitrary smooth algebraic variety X with the structure sheaf O_X the sheaf (C^*(O_X), C_*(O_X)) of homotopy calculi is formal. This result was announced in paper [29] by the second and the third author.
dc.descriptionTo Mikhail Olshanetsky on the occasion of his 70th birthday
dc.identifierhttps://arxiv.org/abs/0807.5117
dc.identifierhttp://arxiv.org/abs/0807.5117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166167
dc.subjectK-Theory and Homology
dc.subjectQuantum Algebra
dc.titleFormality of the homotopy calculus algebra of Hochschild (co)chains
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