solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看2631次
Cup Product in Bounded Cohomology of the Free Group. (arXiv:1710.03193v1 [math.GR])
来源于:arXiv
The bounded cohomology $H^n_b(F, \mathbb{R})$ of a non-abelian free group $F$
has uncountable dimension for $n=2,3$ but it is unkown for $n \geq 4$. The aim
of this paper is to show that the cup product between many known bounded
$2$-cocycles does not yield non-trivial classes in degree $4$. Those classes
include the counting quasimorphisms of Brooks. 查看全文>>