(Quasi-)Hamiltonian manifolds of cohomogeneity one
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arXiv
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| Format: | Preprint |
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2019
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| _version_ | 1866913225267740672 |
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| author | Knop, Friedrich Paulus, Kay |
| author_facet | Knop, Friedrich Paulus, Kay |
| contents | We classify compact, connected Hamiltonian and quasi-Hamiltonian manifolds of cohomogeneity one (which is the same as being multiplicity free of rank one). Here the group acting is a compact connected Lie group (simply connected in the quasi-Hamiltonian case). This work is a concretization of the more general classification (arXiv:1612.03843) of multiplicity free manifolds in the special case of rank one. As a result we obtain numerous new concrete examples of multiplicity free quasi-Hamiltonian manifolds or, equivalently, Hamiltonian loop group actions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1910_01947 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | (Quasi-)Hamiltonian manifolds of cohomogeneity one Knop, Friedrich Paulus, Kay Symplectic Geometry Algebraic Geometry Differential Geometry Representation Theory 53D20, 57S25, 14M27 We classify compact, connected Hamiltonian and quasi-Hamiltonian manifolds of cohomogeneity one (which is the same as being multiplicity free of rank one). Here the group acting is a compact connected Lie group (simply connected in the quasi-Hamiltonian case). This work is a concretization of the more general classification (arXiv:1612.03843) of multiplicity free manifolds in the special case of rank one. As a result we obtain numerous new concrete examples of multiplicity free quasi-Hamiltonian manifolds or, equivalently, Hamiltonian loop group actions. |
| title | (Quasi-)Hamiltonian manifolds of cohomogeneity one |
| topic | Symplectic Geometry Algebraic Geometry Differential Geometry Representation Theory 53D20, 57S25, 14M27 |
| url | https://arxiv.org/abs/1910.01947 |