Genus one Lefschetz fibrations on disk cotangent bundles of surfaces

• Burak Ozbagci ^[1]
  1. [1] Koç University

     Koç University

     Turquía

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 36, Nº 4, 2020, págs. 1149-1166
• Idioma: inglés
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• Resumen

  • We describe a Lefschetz fibration of genus one on the disk cotangent bundle of any closed orientable surface Σ. As a corollary, we obtain an explicit genus one open book decomposition adapted to the canonical contact structure on the unit cotangent bundle of Σ.