Geography of surface bundles over surfaces

Creative Commons License

Baykur R. İ. N., KORKMAZ M.

Mathematische Annalen, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2024
  • Doi Number: 10.1007/s00208-024-02899-5
  • Journal Name: Mathematische Annalen
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Middle East Technical University Affiliated: Yes

Abstract

We construct symplectic surface bundles over surfaces with positive signatures for all but 19 possible pairs of fiber and base genera. Meanwhile, we determine the commutator lengths of a few new mapping classes.