Minimal number of singular fibers in a nonorientable Lefschetz fibration


ONARAN S. , Ozbagci B.

GEOMETRIAE DEDICATA, vol.216, 2022 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 216
  • Publication Date: 2022
  • Doi Number: 10.1007/s10711-021-00666-3
  • Title of Journal : GEOMETRIAE DEDICATA
  • Keywords: Lefschetz fibration, Mapping class group, Nonorientable 4-manifold, MAPPING CLASS-GROUPS

Abstract

We show that there exists an admissible nonorientable genus g Lefschetz fibration with only one singular fiber over a closed orientable surface of genus h if and only if g >= 4 and h >= 1.