Branes, Groupoids, and Quantization

Abstract: In the past few years, new light has been shed on the notion of generalized Kahler geometry, by using ideas from the Weinstein school of Poisson geometry. We now understand that the generalized Kahler metric may be viewed as an imaginary Lagrangian submanifold in a holomorphic symplectic groupoid which encodes the pair of holomorphic Poisson structures underlying the generalized Kahler structure. After explaining how this mechanism works, I will show how it leads to a method for quantizing certain holomorphic Poisson structures in a fashion similar to that used in the work of Gukov and Witten on geometric quantization. This is an ongoing joint work with Francis Bischoff.

algebraic geometrydifferential geometryquantum algebrasymplectic geometry

Audience: researchers in the topic

Boston University Geometry/Physics Seminar

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