Surface bundles with nonvanishing signature

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Using the theory of Lefschetz fibrations and recent advances in mapping class group theory, surface bundles over surfaces with nonzero signature and small base genus are constructed. In particular, a genus-5 fibration over the surface of genus 26 with nonzero signature is given - improving former results on the possible base genera for surface bundles over surfaces with nonzero signature.

Original languageEnglish
Pages (from-to)299-307
Number of pages9
JournalActa Mathematica Hungarica
Volume95
Issue number4
DOIs
Publication statusPublished - Jun 2002

Fingerprint

Bundle
Signature
Genus
Lefschetz Fibration
Mapping Class Group
Fibration
Group Theory

Keywords

  • 4-manifolds
  • Lefschetz fibrations
  • Signature
  • Surface bundles

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Surface bundles with nonvanishing signature. / Stipsicz, A.

In: Acta Mathematica Hungarica, Vol. 95, No. 4, 06.2002, p. 299-307.

Research output: Contribution to journalArticle

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