无重数拟哈密顿流形的分类
微分几何
2025-01-13 v2 代数几何
表示论
辛几何
摘要
若一个拟哈密顿流形的所有辛约化都是 0 维的，则称其为无重数的。在本文中，我们对单连通紧李群上的紧无重数扭曲拟哈密顿流形进行了分类。由此，我们重新发现了这类结构的旧例子并找到了新例子。
引用
@article{arxiv.2210.07637,
title = {Classification of multiplicity free quasi-Hamiltonian manifolds},
author = {Friedrich Knop},
journal= {arXiv preprint arXiv:2210.07637},
year = {2025}
}
备注
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