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An outline of shifted Poisson structures and deformation quantisation in derived differential geometry
Published 20 Apr 2018 in math.DG, math.AG, and math.QA | (1804.07622v3)
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.
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