Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic

DOI10.1007/s10711-020-00570-2zbMath1470.57040arXiv1605.03226OpenAlexW2386151510MaRDI QIDQ2039254

Michelle Bucher, Caterina Campagnolo

Publication date: 2 July 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.03226

zbMATH Keywords

signaturesurface bundlesimplicial volume

Mathematics Subject Classification ID

Topology of vector bundles and fiber bundles (57R22) Fiber bundles in algebraic topology (55R10) General topology of 4-manifolds (57K40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simplicial volume and fillings of hyperbolic manifolds
• Commutators, Lefschetz fibrations and the signatures of surface bundles
• On minimal triangulations of products of convex polygons
• Volume and bounded cohomology
• Signatures, monopoles and mapping class groups
• Lectures on hyperbolic geometry
• A construction of surface bundles over surfaces with non-zero signature
• Surface bundles over surfaces of small genus
• Diffeomorphisms, symplectic forms and Kodaira fibrations
• Non-holomorphic surface bundles and Lefschetz fibrations
• A certain type of irregular algebraic surfaces
• Fundamentalgruppe und zweite Bettische Gruppe
• The simplicial volume of closed manifolds covered by ℍ²× ℍ²
• Double Kodaira fibrations

This page was built for publication: Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic