solidot新版网站常见问题,请点击这里查看。

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>>