Commutators, Lefschetz fibrations and the signatures of surface bundles

Endo H., Korkmaz M., Kotschick D., Ozbagci B., Stipsicz A.

TOPOLOGY, cilt.41, sa.5, ss.961-977, 2002 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 5
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1016/s0040-9383(01)00011-8
  • Dergi Adı: TOPOLOGY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.961-977
  • Anahtar Kelimeler: surface bundles, Lefschetz fibrations, mapping class groups, HOMOLOGY
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We construct examples of Lefschetz fibrations with prescribed singular fibers. By taking differences of pairs of such fibrations with the same singular fibers, we obtain new examples of surface bundles over surfaces with nonzero signature. From these we derive new upper bounds for the minimal genus of a surface representing a given element in the second homology of a mapping class group. (C) 2002 Elsevier Science Ltd. All rights reserved.