vix.ing · top · new · best · stats · spec

Simplicial volume of manifolds fibering with connected structure group

2024/04/23 by Kastenholz, Thorben
#Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #primary: 53C23 secondary: 57N65

paper · doi:10.48550/arxiv.2404.14818

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.

Related