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

J. P. Pridham
September 9, 2026
Published Date

Research Abstract & Technology Focus

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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Correlated Market Trend: Differential (mechanical Device)

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What is the core focus of the research titled 'An outline of shifted Poisson structures and deformation quantisation in derived differential geometry'?

This literature focuses on: 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 exis...

Are there commercial applications of 'An outline of shifted Poisson structures and deformation quantisation in derived differential geometry' in market news publications?

Yes, highly correlated activity was mapped. An entry titled 'Simply supported beam—fourth-order ODE' discusses this: In the introductory post to this series, I mentioned that the shear is the derivative of the moment. It’s easy to see that for our specific problem...

What other academic literature is closely related to 'An outline of shifted Poisson structures and deformation quantisation in derived differential geometry'?

Yes, highly correlated activity was mapped. An entry titled 'Transient Structure at Solar Rigidity Interfaces and the Exceptional Point of the Dynamo Wave: An Operator-First Study of the Sun' discusses this: We study the Sun as the observable panel of a single operator-theoretic family: non-normal transport operators whose stress concentrates at rigidit...

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