Deformation of line bundles on coisotropic subvarieties

2009/09/30 by Vladimir Baranovsky, Victor Ginzburg, Baranovsky, Vladimir +3
Mathematics · Physics and Astronomy · #Homotopy and Cohomology in Algebraic Topology #Advanced Algebra and Geometry #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0909.5520

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.

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• Gerstenhaber-Batalin-Vilkoviski structures on coisotropic intersections

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