Shifted geometric quantization

Research output: Working paper

Abstract

We introduce geometric quantization in the setting of shifted symplectic structures. We define Lagrangian fibrations and prequantizations of shifted symplectic stacks and their geometric quantization. In addition, we study many examples including symplectic groupoids, Hamiltonian spaces and moduli spaces of flat connections. In the case of Hamiltonian spaces we prove a derived analog of the "quantization commutes with reduction" principle.
Original languageEnglish
PublisherArXiv
Number of pages36
Publication statusPublished - 11 Nov 2020

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