来自半单李代数的分层超 Kähler 空间
微分几何
2019-08-01 v2 辛几何
摘要
我们将复半单李群的余切丛的奇异超 Kähler 商空间作为分层空间进行研究，其各层均为超 Kähler 流形。我们聚焦于一个特例，其中分层满足前沿条件，且各层集合上的偏序可通过李理论数据显式描述。
引用
@article{arxiv.1709.09126,
title = {Stratified hyperkahler spaces from semisimple Lie algebras},
author = {Maxence Mayrand},
journal= {arXiv preprint arXiv:1709.09126},
year = {2019}
}
备注
23 pages. v2: Section 4.2 was amended to fix an issue about properness of the K\"ahler potential. The one used in v1 was in fact not proper, but we replaced it in v2 by one which is proper (inducing the same K\"ahler structure), and the proof only requires minor changes in Lemma 4.5 (the issue was that M=0). Proposition 4.6 stays true, and no other section is affected