Geometric quantization, fusion categories, and Rozansky–Witten theory

Abstract: I will begin by reviewing geometric and deformation quantization of a symplectic vector space. The goal will be to explain an analogy between these objects and Rozansky–Witten theory (along with a certain four-dimensional TQFT). This analogy will factor through an analogy concerning three-dimensional TQFTs generated by pointed fusion categories. Throughout, there will be an emphasis on equivariance and anomalies.

mathematical physicsalgebraic topologycategory theoryquantum algebra

Audience: researchers in the topic

Topological Quantum Field Theory Club (IST, Lisbon)

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