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arXiv · 2404.14818

Simplicial volume of manifolds fibering with connected structure group

Thorben Kastenholz
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Abstract

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, or if the fiber is aspherical that the simplicial volume of the total space agrees with the simplicial volume of the trivial bundle.

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Thorben Kastenholz. 2024-04-23. Simplicial volume of manifolds fibering with connected structure group. https://arxiv.org/abs/2404.14818

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