Weyl 𝑛-algebras and the Swiss cheese operad

Author:

Markarian Nikita1

Affiliation:

1. Department of Mathematics , National Research University Higher School of Economics , Russian Federation, 20 Myasnitskaya str., 101000 , Moscow , Russia

Abstract

Abstract We apply Weyl 𝑛-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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

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