Simplicial volume of manifolds fibering with connected structure group

Fuente: arXiv
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Auteur principal: Kastenholz, Thorben
Format: Preprint
Publié: 2024
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author Kastenholz, Thorben
author_facet Kastenholz, Thorben
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2404_14818
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Simplicial volume of manifolds fibering with connected structure group
Kastenholz, Thorben
Algebraic Topology
Geometric Topology
primary: 53C23 secondary: 57N65
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.
title Simplicial volume of manifolds fibering with connected structure group
topic Algebraic Topology
Geometric Topology
primary: 53C23 secondary: 57N65
url https://arxiv.org/abs/2404.14818