86 citations · 275 across the 24 of their papers we have counts for
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Quantization of Poisson-Hamiltonian systems
Chiara Esposito
In this paper we introduce the concept of Hamiltonian system in the canonical and Poisson settings. We will discuss the quantization of the Hamiltonian systems in the Poisson conte…
Rigidity of infinitesimal momentum maps
Chiara Esposito, Eva Miranda
In this paper we prove rigidity theorems for Poisson Lie group actions on Poisson manifolds. In particular, we prove that close infinitesimal momentum maps associated to Poisson Li…
Uniqueness of the Momentum map
Chiara Esposito, Ryszard Nest
We give a detailed discussion about existence and uniqueness of Lu's momentum map. More precisely, we introduce the infinitesimal momentum map, and we study its properties. This al…
Lectures on Deformation quantization of Poisson manifolds
Chiara Esposito
These notes are based on the course given at the School of Geometry, University Kasdi Merbah (Ouargla) 2012. The aim of the course was the deformation quantization of Poisson Lie g…