Commutators, Lefschetz fibrations and the signatures of surface bundles
Geometric Topology
2010-06-08 v1 Symplectic Geometry
Abstract
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 non-zero 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.
Keywords
Cite
@article{arxiv.math/0103176,
title = {Commutators, Lefschetz fibrations and the signatures of surface bundles},
author = {H. Endo and M. Korkmaz and D. Kotschick and B. Ozbagci and A. Stipsicz},
journal= {arXiv preprint arXiv:math/0103176},
year = {2010}
}
Comments
20 pages, 7 figures, accepted for publication in Topology