DEFORMATION OF LINE BUNDLES ON COISOTROPIC SUBVARIETIES

Author: Baranovsky Vladimir   Ginzburg Victor   Pecharich Jeremy  

Publisher: Oxford University Press

ISSN: 1464-3847

Source: Quarterly Journal of Mathematics, Vol.63, Iss.3, 2012-09, pp. : 525-537

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Abstract

We prove a criterion stating when a line bundle on a smooth coisotropic subvariety Y of a smooth variety X with algebraic Poisson structure admits first- and second-order deformation quantizations.