Geometric Quantization of real polarizations via sheaves
Geometric Quantization of real polarizations via sheaves
In this article we develop tools to compute the Geometric Quantization of a symplectic manifold with respect to a regular Lagrangian foliation via sheaf cohomology.The starting point is the definition of representation spaces due to Kostant.We check that the associated sheaf cohomology apparatus satifies Mayer-Vietoris and Künneth formulae.As a consequence, …