Makale detayı · 2006
EXPLICIT HORIZONTAL OPEN BOOKS ON SOME PLUMBINGS
Dergi
International Journal of Mathematics- Yıl
- 2006
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS dergi adı International Journal of Mathematics
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
OpenAlex · İngilizce
We describe explicit open books on arbitrary plumbings of oriented circle bundles over closed oriented surfaces. We show that, for a non-positive plumbing, the open book we construct is horizontal and the corresponding compatible contact structure is also horizontal and Stein fillable. In particular, on some Seifert fibered 3-manifolds we describe open books which are horizontal with respect to their plumbing description. As another application we describe horizontal open books isomorphic to Milnor open books for some complex surface singularities. Moreover we give examples of tight contact 3-manifolds supported by planar open books. As a consequence, the Weinstein conjecture holds for these tight contact structures [1].
Konular
Atıflar
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Yerel katalogda bu makaleye atıf yapan 15 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
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- Canonical contact structures on some singularity links 2014
- Singularity links with exotic Stein fillings 2014
- Milnor open books of links of some rational surface singularities 2011
- Explicit horizontal open books on some Seifert fibered 3-manifolds 2006
- OPEN BOOK DECOMPOSITIONS OF LINKS OF SIMPLE SURFACE SINGULARITIES 2009
- On the topology of fillings of contact 3-manifolds 2015
- Full Lutz twist along the binding of an open book 2010
- Full Lutz twist along the binding of an open book 2010
- Open books and plumbings 2006