Zi-Xiang Zhou

collaborators

2 papers

math.GT2024

Bounded cohomology of diffeomorphism groups of higher dimensional spheres

Zixiang Zhou

In this paper we prove the vanishing of the bounded cohomology of $Diff_{+}^{r} (S^{n})$ with real coefficients when $n \geq 4$ and $1 \leq r \leq \infty$ . This answers the question r…

math.GR2024

Embedding groups into boundedly acyclic groups

Fan Wu, Xiaolei Wu, Mengfei Zhao +1

We show that the \sϕ-labeled Thompson groups and the twisted Brin--Thompson groups are boundedly acyclic. This allows us to prove several new embedding results for groups. First, e…