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arXiv · 0904.2753

Proof of Swiss Cheese Version of Deligne's Conjecture

Vasiliy Dolgushev·Dmitry Tamarkin·Boris Tsygan
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Abstract

For an associative algebra A we consider the pair "the Hochschild cochain complex C*(A,A) and the algebra A". There is a natural 2-colored operad which acts on this pair. We show that this operad is quasi-isomorphic to the singular chain operad of Voronov's Swiss Cheese operad. This statement is the Swiss Cheese version of the Deligne conjecture formulated by M. Kontsevich in arXiv:math/9904055.

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Vasiliy Dolgushev, Dmitry Tamarkin, Boris Tsygan. 2010-12-23. Proof of Swiss Cheese Version of Deligne's Conjecture. https://doi.org/10.1093/imrn%2Frnq265

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