带边界的单连通 4-流形的映射类群
几何拓扑
2024-08-16 v3
摘要
我们计算了每个紧致、单连通、拓扑 4-流形的拓扑映射类群。此前这仅在闭流形情形已知。若该 4-流形是光滑的，我们推导出稳定光滑映射类群的类似刻画，推广了 Saeki 的工作。
引用
@article{arxiv.2207.05986,
title = {Mapping class groups of simply connected 4-manifolds with boundary},
author = {Patrick Orson and Mark Powell},
journal= {arXiv preprint arXiv:2207.05986},
year = {2024}
}
备注
v2 details new consequences of our results in the context of self-homeomorphisms that do not fix the boundary pointwise, and adds an appendix containing a recent new result of Auckly-Kronheimer-Ruberman. v3 incorporates referees' comments, and is the final version accepted for publication in JDG