Commutators, Lefschetz fibrations and the signatures of surface bundles

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

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)961-977
Number of pages17
JournalTopology
Volume41
Issue number5
DOIs
Publication statusPublished - 2002

Fingerprint

Lefschetz Fibration
Commutator
Bundle
Signature
Fiber
Mapping Class Group
Fibration
Homology
Genus
Upper bound

Keywords

  • Lefschetz fibrations
  • Mapping class groups
  • Surface bundles

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

Commutators, Lefschetz fibrations and the signatures of surface bundles. / Endo, H.; Korkmaz, M.; Kotschick, D.; Ozbagci, B.; Stipsicz, A.

In: Topology, Vol. 41, No. 5, 2002, p. 961-977.

Research output: Contribution to journalArticle

Endo, H. ; Korkmaz, M. ; Kotschick, D. ; Ozbagci, B. ; Stipsicz, A. / Commutators, Lefschetz fibrations and the signatures of surface bundles. In: Topology. 2002 ; Vol. 41, No. 5. pp. 961-977.
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