3 papers
math.GT2025
Simplicial volume of open books in dimension 4
Thorben Kastenholz
In this short note we adapt a proof by Bucher and Neofytidis to prove that the simplicial volume of 4-manifolds admitting an open book decomposition vanishes. In particular this sh…
math.AT2024
Simplicial volume of manifolds fibering with connected structure group
Thorben Kastenholz
In this note we investigate the simplicial volume of fiber bundles with connected structure group. We are able to show that if the structure group is either compact or a Lie group,…
math.AT2023
Symplectic Groups, Mapping Class Groups and the Stability of Bounded Cohomology
Thorben Kastenholz
Mapping class groups satisfy cohomological stability. In this note we show how results by Bestvina and Fujiwara imply that the bounded cohomology does not stabilize, additionally w…