On sections of genus two lefschetz fibrations
Pacific Journal of Mathematics, vol.248, no.1, pp.203-216, 2010 (SCI-Expanded, Scopus)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.