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Quantization of vector bundles on Lagrangian subvarieties

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arxiv 1701.01542 v1 pith:W2IPC4CS submitted 2017-01-06 math.AG

Vladimir Baranovsky , Taiji Chen This is my paper · ORCID
classification math.AG
keywords quantizationalgebraicdeformationlagrangiansmoothvectoradmitsbundle
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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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  1. Special unipotent representations and the coadjoint orbit method

    math.RT 2026-07 conditional novelty 7.0 of 10

    Special unipotent representations attached to quasi-distinguished nilpotent orbits are classified by admissible orbit data and proved unitarizable.

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