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

2018/04/20 by J. P. Pridham, Pridham, J. P. · 2 citations
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paper · pdf · doi:10.48550/arxiv.1804.07622

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.

Cited by

• Integrability from categorification and the 2-Kac-Moody Algebra
• Deformation quantisation of exact shifted symplectic structures, with an application to vanishing cycles

Related

• Derived Algebraic Geometry and Deformation Quantization
• Symplectic and Poisson derived geometry and deformation quantization
• Lectures on shifted Poisson geometry
• Quantisation of derived Poisson structures
• Lectures on Deformation quantization of Poisson manifolds