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

@article{citeulike:3106645, abstract = {The 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.}, archivePrefix = {arXiv}, author = {Dolgushev, Vasiliy and Tamarkin, Dmitry and Tsygan, Boris}, citeulike-article-id = {3106645}, citeulike-linkout-0 = {http://arxiv.org/abs/0807.5117}, citeulike-linkout-1 = {http://arxiv.org/pdf/0807.5117}, day = {31}, eprint = {0807.5117}, keywords = {formality}, month = {Jul}, posted-at = {2008-08-10 17:57:20}, priority = {2}, title = {Formality of the homotopy calculus algebra of Hochschild (co)chains}, url = {http://arxiv.org/abs/0807.5117}, year = {2008} }

TY - JOUR ID - citeulike:3106645 L3 - citeulike-article-id:3106645 N2 - The 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. TI - Formality of the homotopy calculus algebra of Hochschild (co)chains KW - formality AU - Dolgushev, Vasiliy AU - Tamarkin, Dmitry AU - Tsygan, Boris PY - 2008/Jul/31/ UR - http://arxiv.org/abs/0807.5117 ER -