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Genus one Lefschetz fibrations on disk cotangent bundles of surfaces

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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.

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European Mathematical Soc

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Mathematics

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Revista Matematica Iberoamericana

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10.4171/RMI/1162

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