On the simplicial volumes of fiber bundles

DOI10.1090/S0002-9939-00-05645-8zbMath0981.53022arXivmath/9904053OpenAlexW1741092215MaRDI QIDQ2701605

Matthias Hoster, Dieter Kotschick

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9904053

zbMATH Keywords

non-positive curvatureEuler numberfiber bundlesurface bundlebounded cohomologysimplicial volume

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Topology of vector bundles and fiber bundles (57R22) Algebraic topology of manifolds (57N65) Smoothing in differential topology (57R10)

Related Items (8)

Simplicial volume of closed locally symmetric spaces of non-compact type ⋮ Aspherical manifolds, relative hyperbolicity, simplicial volume and assembly maps. ⋮ The spectrum of simplicial volume ⋮ Volume of representations and mapping degree ⋮ The simplicial volume of mapping tori of 3-manifolds ⋮ Positivity of simplicial volume for nonpositively curved manifolds with a Ricci-type curvature condition ⋮ Some remarks on the simplicial volume of nonpositively curved manifolds ⋮ Gromov’s Theory of Multicomplexes with Applications to Bounded Cohomology and Simplicial Volume

Cites Work

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• Volume and bounded cohomology
• Signatures, monopoles and mapping class groups
• Actions of discrete groups on nonpositively curved spaces
• A certain type of irregular algebraic surfaces
• On the Gromov-Hitchin-Thorpe inequality

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