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

Fuente: arXiv
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Main Author: Pridham, J. P.
Format: Preprint
Published: 2018
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author Pridham, J. P.
author_facet Pridham, J. P.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1804_07622
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle An outline of shifted Poisson structures and deformation quantisation in derived differential geometry
Pridham, J. P.
Differential Geometry
Algebraic Geometry
Quantum Algebra
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.
title An outline of shifted Poisson structures and deformation quantisation in derived differential geometry
topic Differential Geometry
Algebraic Geometry
Quantum Algebra
url https://arxiv.org/abs/1804.07622