Genus one Lefschetz fibrations on disk cotangent bundles of surfaces
arXiv:1803.01649 · doi:10.4171/RMI/1162
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.
arXiv comment21 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