Escuela de Física-Matemática 2011
Juan Camilo Orduz
(Departamento de Matemáticas, Universidad de Los Andes)
Prequantization and Dirac structures
First of all we review the integrality condition for the prequantization of symplectic and Poisson manifolds. Then we introduce Dirac structures, which generalize Poisson and symplectic manifolds, and discuss their prequantization integrality condition introduced by Weinstein and Zambon. Finally we will discuss the case of twisted-Dirac structures.