Symplectic fillings of lens spaces as Lefschetz fibrations
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, cilt.18, sa.7, ss.1515-1535, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 7
- Basım Tarihi: 2016
- Doi Numarası: 10.4171/jems/621
- Dergi Adı: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1515-1535
- Anahtar Kelimeler: Symplectic fillings, lens spaces, canonical contact structure, Lefschetz fibrations, RATIONAL BLOWDOWNS, OPEN BOOKS, SINGULARITIES, SURFACE
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
We construct a positive allowable Lefschetz fibration over the disk on any minimal (weak) symplectic filling of the canonical contact structure on a lens space. Using this construction we prove that any minimal symplectic filling of the canonical contact structure on a lens space is obtained by a sequence of rational blowdowns from the minimal resolution of the corresponding complex two-dimensional cyclic quotient singularity.