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arXiv · 2411.14059

Bounded cohomology of diffeomorphism groups of higher dimensional spheres

Zixiang Zhou
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Abstract

In this paper we prove the vanishing of the bounded cohomology of $\text{Diff}^r_+(S^n)$ with real coefficients when $n\geq 4$ and $1\leq r\leq \infty$. This answers the question raised in \cite{FNS24} for $\geq 4$ dimensional spheres.

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BibTeXRIS

Zixiang Zhou. 2024-11-21. Bounded cohomology of diffeomorphism groups of higher dimensional spheres. https://arxiv.org/abs/2411.14059

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