Genus one Lefschetz fibrations on disk cotangent bundles of surfaces
Geometric Topology
2022-12-02 v3 Symplectic Geometry
Abstract
We describe a Lefschetz fibration of genus one on the disk cotangent bundle of any closed orientable surface S. As a corollary, we obtain an explicit genus one open book decomposition adapted to the canonical contact structure on the unit cotangent bundle of S.
Keywords
Cite
@article{arxiv.1803.01649,
title = {Genus one Lefschetz fibrations on disk cotangent bundles of surfaces},
author = {Burak Ozbagci},
journal= {arXiv preprint arXiv:1803.01649},
year = {2022}
}
Comments
21 pages, 17 figures, v2 substantial revision, fixed an orientation error in Ishikawa's 2004 Topology paper, v3 final version to appear in Revista Matematica Iberoamericana