Simplicial volume of manifolds fibering with connected structure group
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917647922233344 |
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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 |