Minimal number of singular fibers in a nonorientable Lefschetz fibration

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ONARAN S., Ozbagci B.

GEOMETRIAE DEDICATA, cilt.216, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 216
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s10711-021-00666-3
  • Dergi Adı: GEOMETRIAE DEDICATA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Lefschetz fibration, Mapping class group, Nonorientable 4-manifold, MAPPING CLASS-GROUPS
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.