Mathematics – Geometric Topology
Scientific paper
2005-09-26
Internat. J. Math. 17 (2006), 1013-1031
Mathematics
Geometric Topology
20 pages, 15 figures
Scientific paper
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, we describe horizontal open books on some Seifert fibered 3--manifolds. 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.
Etgü Tolga
Ozbagci Burak
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