JournalsjncgVol. 13, No. 1pp. 227–256

Towards deformation quantization over a Z\mathbb Z-graded base

  • Elif Altinay-Ozaslan

    Temple University, Philadelphia, USA
  • Vasily Dolgushev

    Temple University, Philadelphia, USA
Towards deformation quantization over a $\mathbb Z$-graded base cover

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Abstract

The goal of this note is to describe a class of formal deformations of a symplectic manifold MM 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 AA_{\infty}-infinity direction“ and, in general, their description involves all cohomology classes of MM of degrees 2\geq 2.

Cite this article

Elif Altinay-Ozaslan, Vasily Dolgushev, Towards deformation quantization over a Z\mathbb Z-graded base. J. Noncommut. Geom. 13 (2019), no. 1, pp. 227–256

DOI 10.4171/JNCG/318