On the classical and quantum momentum map

Chiara Esposito

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arXiv · 1203.4112

On the classical and quantum momentum map

Chiara Esposito

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Abstract

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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BibTeX RIS

Chiara Esposito. 2012-03-19. On the classical and quantum momentum map. https://arxiv.org/abs/1203.4112

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