Geography of surface bundles over surfaces


Baykur R. I., Korkmaz M.

MATHEMATISCHE ANNALEN, vol.390, no.4, pp.5793-5817, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 390 Issue: 4
  • 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
  • Page Numbers: pp.5793-5817
  • 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.