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arxiv: math/0309290 · v4 · submitted 2003-09-17 · 🧮 math.AG · math.SG

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Fedosov quantization in algebraic context

R. Bezrukavnikov , D. Kaledin
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classification 🧮 math.AG math.SG
keywords quantizationassumptionsfedosovvarietiesaffinealgebraicalgebro-geometricappropriate
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We consider the problem of quantization of smooth symplectic varieties in the algebro-geometric setting. We show that, under appropriate cohomological assumptions, the Fedosov quantization procedure goes through with minimal changes. The assumptions are satisfied, for example, for affine and for projective varieties. We also give a classification of all possible quantizations.

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  1. Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories

    hep-th 2026-04 unverdicted novelty 6.0

    Sphere partition functions of 3d N=4 Chern-Simons-matter theories are conjectured to equal sums of twisted traces on Verma modules over quantized moduli stacks of vacua.