Classification of broken Lefschetz fibrations with small fiber genera

Details Classification of broken Lefschetz fibrations with small fiber genera Classification of broken Lefschetz fibrations with small fiber genera

2010-10-27

arxiv.org/abs/1010.5814v2

Mathematics

Geometric Topology

22 pages, 14 figures. Included a previously overlooked case in the proof of Theorem 13

Scientific paper

In this article, we generalize the classification of genus one Lefschetz fibrations to genus one simplified broken Lefschetz fibrations, which have fibers of genera one and zero. We classify genus one Lefschetz fibrations over the 2-disk with certain non-trivial global monodromies using chart descriptions, and identify the 4-manifolds admitting genus one simplified broken Lefschetz fibrations.

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