On sections of genus two lefschetz fibrations


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ONARAN S.

Pacific Journal of Mathematics, vol.248, no.1, pp.203-216, 2010 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 248 Issue: 1
  • Publication Date: 2010
  • Doi Number: 10.2140/pjm.2010.248.203
  • Journal Name: Pacific Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.203-216
  • Keywords: Lefschetz fibrations, Sections of lefschetz fibrations
  • Middle East Technical University Affiliated: No

Abstract

We find new relations in the mapping class group of a genus 2 surface with n boundary components for n = 1,..., 8 that induce a genus 2 Lefschetz fibration CP2 # 13 CP2 → S2 with n disjoint sections. As a consequence, we show any holomorphic genus 2 Lefschetz fibration without separating singular fibers admits a section. © 2010 by Pacific Journal of Mathematics.