29 citations · 44 across the 7 of their papers we have counts for
11 papers
Tight surgeries on torus knots
John B. Etnyre, Hyunki Min, Bülent Tosun +1
We give a complete classification of tight contact structures on manifolds obtained from any surgery along any torus knot, which provides the first such classification on an infini…
Complementary legs and symplectic rational balls
John B. Etnyre, Burak Ozbagci, Bülent Tosun
We show that a small Seifert fibered space with complementary legs does not symplectically bound a rational homology ball for at least one choice of orientation. In the case $e_0\l…
Knotted solid tori in contact manifolds
John Etnyre, Youlin Li, Bülent Tosun
In this note we study solid tori in contact manifolds. Specifically, we study the width of a knot type and give criteria for when it is equal to the maximal Thurston-Bennequin inva…
Symplectic rational homology ball fillings of Seifert fibered spaces
John B. Etnyre, Burak Ozbagci, Bülent Tosun
We characterize when some small Seifert fibered spaces can be the convex boundaries of symplectic rational homology balls and give strong restrictions for others to bound such mani…
Unknotted Curves on Seifert Surfaces
Subhankar Dey, Veronica King, Colby T. Shaw +2
We consider homologically essential simple closed curves on Seifert surfaces of genus one knots in , and in particular those that are unknotted or slice in . We completel…
Homology spheres bounding acyclic smooth manifolds and symplectic fillings
John B. Etnyre, Bülent Tosun
In this paper, we collect various structural results to determine when an integral homology --sphere bounds an acyclic smooth --manifold, and when this can be upgraded to a S…
Symplectic fillings, contact surgeries, and Lagrangian disks
James Conway, John B. Etnyre, Bülent Tosun
This paper completely answers the question of when contact (r)-surgery on a Legendrian knot in the standard contact structure on the 3-sphere yields a symplectically fillable conta…
Tight small Seifert fibered manifolds with
Bulent Tosun
In this paper we provide the classification of tight contact structures on some small Seifert fibered manifolds. As an application of this classification, combined with work of Lek…
Hyperbolic rational homology spheres not admitting fillable contact structures
Amey Kaloti, Bulent Tosun
In this short note, we exhibit an infinite family of hyperbolic rational homology --spheres which do not admit any fillable contact structures. We also note that most of these m…
On the Legendrian and transverse classification of cablings
Bülent Tosun
In this note we study Legendrian and transverse knots in the knot type of a (p,q)-cable of a knot K in 3-sphere. We give two structural theorems that describe when the (p,q)-cable…
Legendrian and transverse cables of positive torus knots
John B. Etnyre, Douglas J. LaFountain, Bulent Tosun
In this paper we classify Legendrian and transverse knots in the knot types obtained from positive torus knots by cabling. This classification allows us to demonstrate several new…