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6 papers · 2 filters
Elliptic open books on torus bundles over the circle
Tolga Etgü
As an application of the construction of open books on plumbed 3-manifolds, we construct elliptic open books on torus bundles over the circle. In certain cases these open books are…
Surgery diagrams for horizontal contact structures
Burak Ozbagci
We describe Legendrian surgery diagrams for some horizontal contact structures on non-positive plumbing trees of oriented circle bundles over spheres with negative Euler numbers. A…
Properly Embedded Least Area Planes in Gromov Hyperbolic 3-Spaces
Baris Coskunuzer
We show that for any simple closed curve in the sphere at infinity of a Gromov hyperbolic 3-space with cocompact metric, there exist a properly embedded least area plane in the spa…
Open books and plumbings
John B. Etnyre, Burak Ozbagci
We construct, somewhat non-standard, Legendrian surgery diagrams for some Stein fillable contact structures on some plumbing trees of circle bundles over spheres. We then show how…
Invariants of contact structures from open books
John B. Etnyre, Burak Ozbagci
In this note we define three invariants of contact structures in terms of open books supporting the contact structures. These invariants are the support genus (which is the minimal…
Explicit horizontal open books on some Seifert fibered 3--manifolds
Burak Ozbagci
We describe explicit horizontal open books on some Seifert fibered 3--manifolds. We show that the contact structures compatible with these horizontal open books are Stein fillable…