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arxiv: 0904.2753 · v3 · pith:YNZYZSNJnew · submitted 2009-04-17 · 🧮 math.KT · math.AT

Proof of Swiss Cheese Version of Deligne's Conjecture

Vasiliy Dolgushev , Dmitry Tamarkin , Boris Tsygan This is my paper
classification 🧮 math.KT math.AT
keywords operadcheeseswissalgebraconjecturedelignepairversion
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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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