Revista Matemática Iberoamericana
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Genus one Lefschetz fibrations on disk cotangent bundles of surfacesBurak Ozbagci (1) Koç University, Istanbul, Turkey
We describe a Lefschetz fibration of genus one on the disk cotangent bundle of any closed orientable surface $\Sigma$. As a corollary, we obtain an explicit genus one open book decomposition adapted to the canonical contact structure on the unit cotangent bundle of $\Sigma$.
Keywords: Lefschetz fibration, cotangent bundle, contact structure, open book
Ozbagci Burak: Genus one Lefschetz fibrations on disk cotangent bundles of surfaces. Rev. Mat. Iberoam. Electronically published on January 3, 2020. doi: 10.4171/rmi/1162 (to appear in print)