Commutators, Lefschetz fibrations and the signatures of surface bundles

Date

2002-09-01

Author

Endo, H
Korkmaz, Mustafa
Kotschick, D
Ozbagci, B
Stipsicz, A

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We construct examples of Lefschetz fibrations with prescribed singular fibers. By taking differences of pairs of such fibrations with the same singular fibers, we obtain new examples of surface bundles over surfaces with nonzero signature. From these we derive new upper bounds for the minimal genus of a surface representing a given element in the second homology of a mapping class group.

Subject Keywords

Geometry and Topology

URI

https://hdl.handle.net/11511/39021

Journal

TOPOLOGY

DOI

https://doi.org/10.1016/s0040-9383(01)00011-8

Collections

Department of Mathematics, Article

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Citation Formats

H. Endo, M. Korkmaz, D. Kotschick, B. Ozbagci, and A. Stipsicz, “Commutators, Lefschetz fibrations and the signatures of surface bundles,” TOPOLOGY, pp. 961–977, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39021.