Simplicial volume of manifolds fibering with connected structure group
Algebraic Topology
2024-04-24 v1 Geometric Topology
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.
Cite
@article{arxiv.2404.14818,
title = {Simplicial volume of manifolds fibering with connected structure group},
author = {Thorben Kastenholz},
journal= {arXiv preprint arXiv:2404.14818},
year = {2024}
}
Comments
Comments welcome, 7 pages