On sections of genus two lefschetz fibrations
Pacific Journal of Mathematics, cilt.248, sa.1, ss.203-216, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 248 Sayı: 1
- Basım Tarihi: 2010
- Doi Numarası: 10.2140/pjm.2010.248.203
- Dergi Adı: Pacific Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.203-216
- Anahtar Kelimeler: Lefschetz fibrations, Sections of lefschetz fibrations
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Hayır
Özet
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.