Bounded cohomology of diffeomorphism groups of higher dimensional spheres

2024/11/21 by Zhou, Zixiang
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2411.14059

openalex publication_date 2024/11/21 · openalex created_date 2024/11/24 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the vanishing of the bounded cohomology of Diff^r₊(Sⁿ) with real coefficients when n≥ 4 and 1≤ r≤ ∞. This answers the question raised in \citeFNS24 for ≥ 4 dimensional spheres.

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