Classification of broken Lefschetz fibrations with small fiber genera
Geometric Topology
2010-12-14 v2 Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1010.5814,
title = {Classification of broken Lefschetz fibrations with small fiber genera},
author = {R. Inanc Baykur and Seiichi Kamada},
journal= {arXiv preprint arXiv:1010.5814},
year = {2010}
}
Comments
22 pages, 14 figures. Included a previously overlooked case in the proof of Theorem 13