Proof of swiss cheese version of deligne's conjecture

V. A. Dolgushev, D. E. Tamarkin*, B. L. Tsygan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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 ["Operads and motives in deformation quantization." Letters in Mathematical Physics 48 (1999) 35-72.].

Original languageEnglish (US)
Pages (from-to)4666-4746
Number of pages81
JournalInternational Mathematics Research Notices
Issue number20
StatePublished - 2011

ASJC Scopus subject areas

  • Mathematics(all)


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