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arXiv · 1910.01947

(Quasi-)Hamiltonian manifolds of cohomogeneity one

Friedrich Knop·Kay Paulus
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Abstract

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.

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BibTeXRIS

Friedrich Knop, Kay Paulus. 2019-10-04. (Quasi-)Hamiltonian manifolds of cohomogeneity one. https://doi.org/10.1007/s00209-023-03325-3

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