Multiplicity free quasi-Hamiltonian manifolds
arXiv:1612.03843
Abstract
A (quasi-)Hamiltonian manifold is called multiplicity free if all of its symplectic reductions are 0-dimensional. In this paper, we classify multiplicity free Hamiltonian actions for (twisted) loop groups or, equivalently, multiplicity free (twisted) quasi-Hamiltonian manifolds for simply connected compact Lie groups. As a result we recover old and find new examples of these structures.
arXiv commentv1: 42 pages; v2: 42 pages, minor corrections, reference to a paper of Meinrenken added
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Cited by in corpus (7)
- Norm-square localization for Hamiltonian -spaces
- Spinor modules for Hamiltonian loop group spaces
- (Quasi-)Hamiltonian manifolds of cohomogeneity one
- Twisted Conjugation on Connected Simple Lie Groups and Twining Characters
- Twisted Moduli Spaces and Duistermaat-Heckman Measures
- On some families of smooth affine spherical varieties of full rank
- Momentum polytopes of rank one for multiplicity free quasi-Hamiltonian manifolds