The Stable Symplectic Category and Quantization

  title={The Stable Symplectic Category and Quantization},
  author={N. Kitchloo},
  journal={arXiv: Algebraic Topology},
  • N. Kitchloo
  • Published 2012
  • Mathematics
  • arXiv: Algebraic Topology
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… Expand
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I and J
Symplectic Geometry, Bulletin of the A.M.S
  • Vol.5, No.1,
  • 1981