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

Differential Geometry and its Applications 2026 Open access

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Authors: J. P. Pridham
DOI: 10.1016/j.difgeo.2026.102420
Cited by: 17
References: 63

Abstract

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.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Advanced Topics in Algebra Nonlinear Waves and Solitons

Publication details

Journal / source
Differential Geometry and its Applications
Publisher
Elsevier BV
Volume
104
Pages
102420–102420
Publication date
29 July 2026
Language
EN