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Quantization of Magnetic Poisson Structures

Quantization of Magnetic Poisson Structures

Abstract We describe three perspectives on higher quantization, using the example of magnetic Poisson structures which embody recent discussions of nonassociativity in quantum mechanics with magnetic monopoles and string theory with nonā€geometric fluxes. We survey approaches based on deformation quantization of twisted Poisson structures, symplectic realization of almost symplectic structures, ā€¦