非紧致轨形的微分同胚群
群论
2015-03-11 v4 泛函分析
摘要
我们赋予仿紧（约化）轨形的微分同胚群以无穷维李群结构，其建模空间为切轨丛的紧支截面空间。对于第二可数轨形，我们证明了该李群是 C^0-正则的，从而是 Milnor 意义下正则的。此外，还给出了与轨形微分同胚群相关联的李代数的显式刻画。
关键词
引用
@article{arxiv.1301.5551,
title = {The diffeomorphism group of a non-compact orbifold},
author = {Alexander Schmeding},
journal= {arXiv preprint arXiv:1301.5551},
year = {2015}
}
备注
184 pp, LaTex and TikZ. V4: updated some remarks and literature, corrected typos and minor errors. The results remain unchanged. For the reader's convenience, the appendix contains some definitions and known facts from A. Pohl's preprint arXiv:1001.0668 and H. Glockner's preprint arXiv:math/0408008 which are used in the text