On the classical and quantum momentum map
  In this thesis we study the classical and quantum momentum maps and the theory of reduction. We focus on the notion of momentum map in Poisson geometry and we discuss the classification of the momentum map in this framework. Furthermore, we describe the so-called Poisson Reduction, a technique that allows us to reduce the dimension of a manifold in presence of symmetries implemented by Poisson actions. 
Chiara Esposito
math.DG