Geometric Quantization for Poisson Manifolds: A Groupoid Approach

We discuss the Guillemin-Sternberg quantization for a family of Poisson manifolds, known as log-symplectic manifolds. Based on Crainic's idea of prequantizability in terms of integrability of symplectic algebroids, we give a generalization of the recent work of Lin-Loizides-Sjamaar-Song.