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- W2902296354 abstract "In this short note we prove an equivariant version of the formality of multidiffirential operators for a proper Lie group action. More precisely, we show that the equivariant Hochschild-Kostant-Rosenberg quasi-isomorphism between the cohomology of the equivariant multidifferential operators and the complex of equivariant multivector fields extends to an $L_infty$-quasi-isomorphism. We construct this $L_infty$-quasi-isomorphism using the $G$-invariant formality constructed by Dolgushev. This result has immediate consequences in deformation quantization, since it allows to obtain a quantum moment map from a classical momentum map with respect to a $G$-invariant Poisson structure." @default.
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- W2902296354 date "2018-12-02" @default.
- W2902296354 modified "2023-09-27" @default.
- W2902296354 title "A proof of Tsygan's formality conjecture for Hamiltonian actions" @default.
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