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Weyl ????-algebras and the Swiss cheese operad

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Abstract We apply Weyl ????-algebras to prove formality theorems for higher Hochschild cohomology. We present two approaches: via propagators and via the factorization complex. It is shown that the second… Click to show full abstract

Abstract We apply Weyl ????-algebras to prove formality theorems for higher Hochschild cohomology. We present two approaches: via propagators and via the factorization complex. It is shown that the second approach is equivalent to the first one taken with a new family of propagators we introduce.

Keywords: swiss cheese; algebras swiss; weyl algebras; cheese operad

Journal Title: Forum Mathematicum
Year Published: 2020

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