Quantization of vector bundles on Lagrangian subvarieties

Vladimir Baranovsky; Taiji Chen

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arXiv · 1701.01542

Quantization of vector bundles on Lagrangian subvarieties

Vladimir Baranovsky·Taiji Chen

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Abstract

We consider a smooth Lagrangian subvariety Y in a smooth algebraic variety X with an algebraic symplectic from. For a vector bundle E on Y and a choice Oh of deformation quantization of the structure sheaf of X, we establish when E admits a deformation quantization to a module over Oh. If the necessary conditions hold, we describe the set of equivalence classes of such quantizations.

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Vladimir Baranovsky, Taiji Chen. 2017-01-06. Quantization of vector bundles on Lagrangian subvarieties. https://arxiv.org/abs/1701.01542

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