On the classical and quantum momentum map

Details On the classical and quantum momentum map On the classical and quantum momentum map

2012-03-19

arxiv.org/abs/1203.4112v1

Mathematics

Differential Geometry

PhD Thesis, 99 pages

Scientific paper

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.

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