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arXiv · 1702.06930

Towards deformation quantization over a Z-graded base

Elif Altinay-Ozaslan·Vasily Dolgushev
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Abstract

The goal of this note is to describe a class of formal deformations of a symplectic manifold $M$ in the case when the base ring of the deformation problem involves parameters of non-positive degrees. The interesting feature of such deformations is that these are deformations "in $A_{\infty}$-direction" and, in general, their description involves all cohomology classes of $M$ of degrees $\ge 2$.

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BibTeXRIS

Elif Altinay-Ozaslan, Vasily Dolgushev. 2017-02-22. Towards deformation quantization over a Z-graded base. https://arxiv.org/abs/1702.06930

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