Dirac geometry and integration of Poisson homogeneous spaces
Dirac geometry and integration of Poisson homogeneous spaces
Using tools from Dirac geometry and through an explicit construction, we show that every Poisson homogeneous space of any Poisson Lie group admits an integration to a symplectic groupoid. Our theorem follows from a more general result which relates, for a principal bundle $M \to M/H$, integrations of a Dirac …