Generalised Thurston-Bennequin invariants for real algebraic surface singularities
Manuscripta Mathematica, cilt.117, sa.3, ss.273-298, 2005 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 117 Sayı: 3
- Basım Tarihi: 2005
- Doi Numarası: 10.1007/s00229-005-0549-2
- Dergi Adı: Manuscripta Mathematica
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.273-298
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Boğaziçi Üniversitesi Adresli: Evet
Özet
A generalised Thurston-Bennequin invariant for a Q-singularity of a real algebraic variety is defined as a linking form on the homologies of the real link of the singularity. The main goal of this paper is to present a method to calculate the linking form in terms of the very good resolution graph of a real normal unibranch singularity of a real algebraic surface. For such singularities, the value of the linking form is the Thurston-Bennequin number of the real link of the singularity. As a special case of unibranch surface singularities, the behaviour of the linking form is investigated on the Brieskorn double points x m +y n ±z 2=0. © Springer-Verlag 2005.