发表机构
Maxwell Institute; Heriot-Watt University（麦克斯韦研究所; 赫瑞-瓦特大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明非零星曲面映射类群及一大类右角群具有一族等变粗中位数结构，通过拟上循环修改层级双曲群结构，改进先前定理且不依赖余紧立方化。
AI 中文摘要
本文证明了任何非零星曲面的映射类群都拥有一族等变粗中位数结构，从而改进了作者先前的一个定理。对于一大类右角Artin群和Coxeter群，这一结论同样成立，包括任意维数至少为2的例子，以及不与RAAG拟等距的RACG；在这些情形下，粗中位数结构并非由余紧立方化诱导。这些结果是通用程序的具体实例，该程序利用拟上循环来灵活修改（合适的）层级双曲群的结构。
英文摘要
It is shown that the mapping class group of any non-sporadic surface admits a continuum of equivariant coarse median structures, thus improving a previous theorem of the author. The same holds for a wide class of right-angled Artin and Coxeter groups, including examples of any dimension at least two, and RACGs which are not quasi-isometric to RAAGs; the coarse median structures in these cases are not induced by cocompact cubulations. The results are instances of a general procedure, which uses quasicocycles to flexibly modify the structure of a (suitable) hierarchically hyperbolic group.
Comments23 pages, 2 figures. Comments are highly appreciated!
