4 citations · 19 across the 8 of their papers we have counts for
9 papers
Nonfillable Legendrian knots in the 3-sphere
Tolga Etgü
If a Legendrian knot in the standard contact 3-sphere bounds an orientable exact Lagrangian surface in the standard symplectic 4-ball, then the genus of is equal to the…
Examples of planar tight contact structures with support norm one
Tolga Etgü, Yanki Lekili
We exhibit an infinite family of tight contact structures with the property that none of the supporting open books minimizes the genus and maximizes the Euler characteristic of the…
Partial open book decompositions and the contact class in sutured Floer homology
Tolga Etgü, Burak Ozbagci
We demonstrate how to combinatorially calculate the EH-class of a compatible contact structure in the sutured Floer homology group of a balanced sutured three manifold which is ass…
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…
Explicit horizontal open books on some plumbings
Tolga Etgü, Burak Ozbagci
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 constru…
Homologous Non-isotopic Symplectic Tori in Homotopy Rational Elliptic Surfaces
Tolga Etgü, B. Doug Park
Let E(1)_K denote the closed 4-manifold that is homotopy equivalent (hence homeomorphic) to the rational elliptic surface E(1) and is obtained by performing Fintushel-Stern knot su…