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- W4291509076 abstract "We study a stabilization of the symplectic category introduced by A. Weinstein as a domain for the geometric quantization functor. The symplectic category is a topological category with objects given by symplectic manifolds, and morphisms being suitable lagrangian correspondences. The main drawback of Weinstein's symplectic category is that composition of morphisms cannot always be defined. Our stabilization procedure rectifies this problem while remaining faithful to the original notion of composition. The stable symplectic category is enriched over the category of spectra (in particular, its morphisms can be described as infinite loop spaces representing the space of immersed lagrangians), and it possesses several appealing properties that are relevant to deformation, and geometric quantization." @default.
- W4291509076 created "2022-08-15" @default.
- W4291509076 creator A5048249795 @default.
- W4291509076 date "2012-04-25" @default.
- W4291509076 modified "2023-09-24" @default.
- W4291509076 title "The Stable Symplectic Category and Quantization" @default.
- W4291509076 doi "https://doi.org/10.48550/arxiv.1204.5720" @default.
- W4291509076 hasPublicationYear "2012" @default.
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