Low-slope Lefschetz fibrations

Çengel A., KORKMAZ M.

Journal of Topology and Analysis, cilt.15, sa.2, ss.513-526, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1142/s1793525321500394
  • Dergi Adı: Journal of Topology and Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.513-526
  • Anahtar Kelimeler: Lefschetz fibration, mapping class group, signatures of relations, slope
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

© 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.