INVARIANTS OF OPEN BOOKS OF LINKS OF SURFACE SINGULARITIES
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.48, sa.1, ss.135-144, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 48 Sayı: 1
- Basım Tarihi: 2011
- Doi Numarası: 10.1556/sscmath.2010.1159
- Dergi Adı: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.135-144
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Galatasaray Üniversitesi Adresli: Evet
Özet
If M is the link of a complex normal surface singularity, then it carries a canonical contact structure xi(can), which can be identified from the topology of the 3-manifold M. We assume that M is a rational homology sphere. We compute the support genus, the binding number and the norm associated with the open books which support xi(can), provided that we restrict ourselves to the case of (analytic) Milnor open books. In order to do this, we determine monotonity properties of the genus and the Milnor number of all Milnor fibrations in terms of the Lipman cone.