MILNOR OPEN BOOKS OF LINKS OF SOME RATIONAL SURFACE SINGULARITIES

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BHUPAL M. L., ÖZBAĞCI B.

PACIFIC JOURNAL OF MATHEMATICS, cilt.254, sa.1, ss.47-65, 2011 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 254 Sayı: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.2140/pjm.2011.254.47
  • Dergi Adı: PACIFIC JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.47-65
  • Anahtar Kelimeler: contact structure, Milnor open book, support genus, surface singularity, Milnor fillable, Milnor genus, CONTACT STRUCTURES, DECOMPOSITIONS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We determine Legendrian surgery diagrams for the canonical contact structures of links of rational surface singularities that are also small Seifert fibered 3-manifolds. Moreover, we describe an infinite family of Milnor fillable contact 3-manifolds so that, for each member of this family, the Milnor genus and Milnor norm are strictly greater than the support genus and support norm of the canonical contact structure. For some of these contact structures we construct supporting Milnor open books.