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arXiv · 1412.1147

Hochschild cohomology of deformation quantizations over $\mathbb{Z}/p^n\mathbb{Z}$

Akaki Tikaradze
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Abstract

Let X be a an affine smooth symplectic variety over $\mathbb{Z}/p\mathbb{Z},$ and A be its deformation quantization over the p-adic integers. We prove that for all $n\geq 1,$ the Hochschild cohomogy of $A/p^nA$ is isomorphic to the de Rham-Witt complex of X over $\mathbb{Z}/p^n\mathbb{Z}$. We also compute centers of deformations of certain affine Poisson varieties over $\mathbb{Z}/p\mathbb{Z}.$

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BibTeXRIS

Akaki Tikaradze. 2015-03-18. Hochschild cohomology of deformation quantizations over $\mathbb{Z}/p^n\mathbb{Z}$. https://arxiv.org/abs/1412.1147

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