64 citations · 346 across the 27 of their papers we have counts for
5 papers · 1 filter
Embedding all contact 3-manifolds in a fixed contact 5-manifold
John B. Etnyre, Yanki Lekili
In this note we observe that one can contact embed all contact 3-manifolds into a Stein fillable contact structure on the twisted -bundle over and also into a unique ove…
Planar open books with four binding components
Yanki Lekili
We study an explicit construction of planar open books with four binding components on any three-manifold which is given by integral surgery on three component pure braid closures.…
Milnor fillable contact structures are universally tight
Yanki Lekili, Burak Ozbagci
We show that the canonical contact structure on the link of a normal complex singularity is universally tight. As a corollary we show the existence of closed, oriented, atoroidal 3…
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…
Wrinkled fibrations on near-symplectic manifolds
Yanki Lekili
Motivated by the programmes initiated by Taubes and Perutz, we study the geometry of near-symplectic 4-manifolds, i.e., manifolds equipped with a closed 2-form which is symplectic…