Classification of multiplicity free quasi-Hamiltonian manifolds
Differential Geometry
2025-01-13 v2 Algebraic Geometry
Representation Theory
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.2210.07637,
title = {Classification of multiplicity free quasi-Hamiltonian manifolds},
author = {Friedrich Knop},
journal= {arXiv preprint arXiv:2210.07637},
year = {2025}
}
Comments
v1: 35 pages, this is a complete revision of arxiv:1612.03843. Since some omitted parts have already been cited, I opted for a new submission under a new title. v2: 39 pages, revised according to the advice of a very helpful referee