Classification of multiplicity free quasi-Hamiltonian manifolds
Friedrich Knop
TL;DR
This paper classifies compact, multiplicity free twisted quasi-Hamiltonian manifolds for simply connected, compact Lie groups, providing both new and known examples of these geometric structures.
Contribution
It offers a complete classification of multiplicity free twisted quasi-Hamiltonian manifolds for a broad class of Lie groups, expanding the understanding of their structure.
Findings
Recovered known examples of multiplicity free quasi-Hamiltonian manifolds.
Identified new examples of such manifolds.
Provided a comprehensive classification framework.
Abstract
A quasi-Hamiltonian manifold is called multiplicity free if all of its symplectic reductions are 0-dimensional. In this paper, we classify compact, multiplicity free, twisted quasi-Hamiltonian manifolds for simply connected, compact Lie groups. Thereby, we recover old and find new examples of these structures.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Geometry and complex manifolds