Veech 群的扩张 II：层次双曲性与拟等距刚性
几何拓扑
2024-03-08 v2 群论
摘要
我们证明了对于闭曲面 的映射类群 中的任意格 Veech 群，其关联的 --扩张群是一个层次双曲群。作为推论，我们证明了任意此类扩张群都是拟等距刚性的。
引用
@article{arxiv.2111.00685,
title = {Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity},
author = {Spencer Dowdall and Matthew G. Durham and Christopher J. Leininger and Alessandro Sisto},
journal= {arXiv preprint arXiv:2111.00685},
year = {2024}
}
备注
v2: 60 pages, 10 figures. This is the sequel to arXiv:2006.16425. Updates to incorporate referee comments. Final version accepted for publication in Commentarii Mathematici Helvetici