Titlebook: Hamiltonian Group Actions and Equivariant Cohomology; Shubham Dwivedi,Jonathan Herman,Theo van den Hurk Book 2019 The Author(s), under exc

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The Physicists’ View of Nature Part 2symmetry as possible—when the torus is of largest possible dimension for the action to be effective. The main result of this chapter, due to Delzant, says that in the case of maximal symmetry the polytope completely determines the Hamiltonian .-space, where . is a torus.

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Book 2019an essential prerequisite for this course. Some of the later material will be more accessible to readers who have had a basic course on algebraic topology. For some of the later chapters, it would be helpful to have some background on representation theory and complex geometry..

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2191-8198 ble to readers who have had a basic course on algebraic topology. For some of the later chapters, it would be helpful to have some background on representation theory and complex geometry..978-3-030-27226-5978-3-030-27227-2Series ISSN 2191-8198 Series E-ISSN 2191-8201

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https://doi.org/10.1007/978-1-4612-4646-6s that around any point of a symplectic manifold, there is a chart for which the symplectic form has a particularly nice form. In this section, we give a proof of an equivariant version of the theorem and look at some corollaries. We direct the reader to [.] or Sect. 22 of [.] for more details.

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https://doi.org/10.1007/978-1-60761-134-9irillov–Kostant–Souriau form). An example of an orbit of the adjoint action is the two-sphere, which is an orbit of the action of the rotation group .(3) on its Lie algebra .. Background information on Lie groups may be found in Appendix.

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