论文标题
稳定古典群体的有限共同体学
Stabilization of Bounded Cohomology for Classical Groups
论文作者
论文摘要
我们表明，有界的共同体学稳定在古典谎言基团的序列以及其中的晶格序列。我们的方法基于（ARXIV：2307.12808）的标准，该标准将Quillen的稳定方法适应有限的共同体设置。然后将该标准应用于一个测量的复合物家族，即所谓的Stiefel复合物，该复合物与具有非脱位的静态形式相关的任何矢量空间相关。
We show that bounded cohomology stabilizes along sequences of classical Lie groups, and along sequences of lattices in them. Our method is based on a criterion from (arXiv:2307.12808) which adapts Quillen's stability method to the setting of bounded cohomology. This criterion is then applied to a family of measured complexes, the so-called Stiefel complexes, associated to any vector space endowed with a non-degenerate sesquilinear form.
