Symplectic fillings of lens spaces as Lefschetz fibrations

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BHUPAL M. L., ÖZBAĞCI B.

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, cilt.18, sa.7, ss.1515-1535, 2016 (SCI-Expanded) identifier identifier

  • 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
  • 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.