Commutators, Lefschetz fibrations and the signatures of surface bundles

DOI10.1016/S0040-9383(01)00011-8zbMath1007.57025arXivmath/0103176MaRDI QIDQ697821

Dieter Kotschick, Mustafa Korkmaz, Burak Ozbagci, András I. Stipsicz, Hisaaki Endo

Publication date: 17 September 2002

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0103176

zbMATH Keywords

mapping class groupsLefschetz fibrationssurface bundles

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Topological methods in group theory (57M07) Differentiable structures in differential topology (57R55) Commutator calculus (20F12)

Related Items (19)

Some topological properties of surface bundles ⋮ Stable commutator length of a Dehn twist ⋮ Surface bundles with non-zero signature ⋮ INDECOMPOSABLE SURFACE BUNDLES OVER SURFACES ⋮ On sections of hyperelliptic Lefschetz fibrations ⋮ Extra-special quotients of surface braid groups and double Kodaira fibrations with small signature ⋮ Surface bundles over surfaces of small genus ⋮ Holonomies and the slope inequality of Lefschetz fibrations ⋮ Singular fibers in elliptic fibrations on the rational elliptic surface ⋮ Surface braid groups, Finite Heisenberg covers and double Kodaira fibrations ⋮ Signature of relations in mapping class groups and non-holomorphic Lefschetz fibrations ⋮ Upper bounds for the minimal number of singular fibers in a Lefschetz fibration over the torus ⋮ Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic ⋮ On sections of elliptic fibrations ⋮ A Note on the Fundamental Group of Kodaira Fibrations ⋮ Signatures of surface bundles and scl of a Dehn twist ⋮ Double Kodaira fibrations with small signature ⋮ Lefschetz fibrations ⋮ On the minimal number of singular fibers in Lefschetz fibrations over the torus

This page was built for publication: Commutators, Lefschetz fibrations and the signatures of surface bundles