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arXiv · 1403.3493

Quantization of line bundles on Lagrangian subvarieties

Vladimir Baranovsky·Victor Ginzburg·Dmitry Kaledin·Jeremy Pecharich
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Abstract

We apply the technique of formal geometry to give a necessary and sufficient condition for a line bundle supported on a smooth Lagrangian subvariety to deform to a sheaf of modules over a fixed deformation quantization of the structure sheaf of an algebraic symplectic variety.

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Vladimir Baranovsky, Victor Ginzburg, Dmitry Kaledin, Jeremy Pecharich. 2014-03-14. Quantization of line bundles on Lagrangian subvarieties. https://arxiv.org/abs/1403.3493

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