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Commutators, Lefschetz fibrations and the signatures of surface bundles

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