Deformation of line bundles on coisotropic subvarieties

Abstract

We prove a criterion stating when a line bundle on a smooth coisotropic subvariety Y of a smooth variety X with an algebraic Poisson structure, admits a first order deformation quantization.

16 pages

References in corpus (3)

• Deformation quantization of Poisson manifolds, I
• Relative formality theorem and quantisation of coisotropic submanifolds
• Gerstenhaber-Batalin-Vilkoviski structures on coisotropic intersections

Cited by in corpus (1)

• Gerstenhaber-Batalin-Vilkoviski structures on coisotropic intersections