Abstract
We prove that every $0$shifted Poisson structure on a derived DeligneMumford $n$stack admits a curved $A_{\infty}$ quantisation whenever the stack has perfect cotangent complex; in particular, this applies to LCI schemes. Where the KontsevichTamarkin approach to quantisation hinges on invariance of the Hochschild complex under affine transformations, we instead exploit the observation that it carries an involution, and that such involutive deformations of the complex of polyvectors are essentially unique.
Original language  English 

Publisher  ArXiv 
Publication status  Published  20 Feb 2019 
Keywords
 math.AG
 math.QA
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Jon Pridham
 School of Mathematics  Personal Chair of Derived Algebraic Geometry
Person: Academic: Research Active