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An outline of shifted Poisson structures and deformation quantisation in derived differential geometry

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arxiv 1804.07622 v5 pith:V2H2NEAK submitted 2018-04-20 math.DG math.AGmath.QA

J. P. Pridham This is my paper · ORCID
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keywords derivedgeometrydeformationdifferentialpoissonshiftedstructuresalgebraic
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We explain how to translate several recent results in derived algebraic geometry to derived differential geometry. These concern shifted Poisson structures on NQ-manifolds, Lie groupoids, smooth stacks and derived generalisations, and include existence and classification of various deformation quantisations.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 17 citations worldwide. Full citation record

  1. The shifted symplectic geometry of derived higher groupoids

    math.SG 2026-07 conditional novelty 7.0 of 10

    Derived Lie n-groupoids carry shifted symplectic and lagrangian structures whose composition is well defined under transversality, yielding a unified derived symplectic reduction at critical values.

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