论文标题
猫（0）立方体复合物及其杯子产品的中值准晶体中位数
Median quasimorphisms on CAT(0) cube complexes and their cup products
论文作者
论文摘要
CUP产品提供了一种自然的方法来访问较高限制的共同体学组。我们将自由群的杯形成杯产物的杯子产物扩展到了中位数准态的杯产物，即对CAT（0）立方体复合体的小组作用的Brooks-type准晶体。特别是，我们为在树木和右角Artin群体上作用的群体获得了这种消失的结果。此外，我们概述了在有限的共同体学中为CUP产品消失结果的潜在应用。
Cup products provide a natural approach to access higher bounded cohomology groups. We extend vanishing results on cup products of Brooks quasimorphisms of free groups to cup products of median quasimorphisms, i.e., Brooks-type quasimorphisms of group actions on CAT(0) cube complexes. In particular, we obtain such vanishing results for groups acting on trees and for right-angled Artin groups. Moreover, we outline potential applications of vanishing results for cup products in bounded cohomology.
