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

J. P. Pridham

公開日: 2018/4/20

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.