Low-slope Lefschetz fibrations

Çengel A., KORKMAZ M.

Journal of Topology and Analysis, vol.15, no.2, pp.513-526, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.1142/s1793525321500394
  • Journal Name: Journal of Topology and Analysis
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.513-526
  • Keywords: Lefschetz fibration, mapping class group, signatures of relations, slope
  • Middle East Technical University Affiliated: Yes


© 2021 World Scientific Publishing Company.For any g ≥ 3, we construct genus-g Lefschetz fibrations over the two-sphere whose slopes are arbitrarily close to 2. The total spaces of the Lefschetz fibrations can be chosen to be minimal and simply connected. It is also shown that the infimum and the supremum of slopes of all Lefschetz fibrations over the two-sphere are not realized as slopes.