Revista Matemática Iberoamericana


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Published online first: 2020-01-03
DOI: 10.4171/rmi/1162

Genus one Lefschetz fibrations on disk cotangent bundles of surfaces

Burak Ozbagci[1]

(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)