This chapter gives some additional background on symplectic reduction theory, the main topic being one of the most important cases, namely the symplectic reduction of cotangent bundles. The main results concerning cotangent bundle reduction make use of the theory of principal connections and so we provide the necessary background on this theory in the first section. The chapter closes with a description of the setting for the major topic of the book: reduction by stages.
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Cotangent Bundle Reduction. In: Hamiltonian Reduction by Stages. Lecture Notes in Mathematics, vol 1913. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72470-4_2
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DOI: https://doi.org/10.1007/978-3-540-72470-4_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72469-8
Online ISBN: 978-3-540-72470-4
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