5 papers · 1 filter
Characterizing slopes for Legendrian knots
Youlin Li, Chi Zhang
We establish a criterion relating smooth and contact characterizing slopes under a uniqueness assumption. Let be a Legendrian representative of a knot with stand…
Non-loose torus knots in
Jiaxin Huang, Youlin Li, Zaiting Xu
In this paper, we present a complete coarse classification of non-loose Legendrian and transverse torus knots in any contact structure on .
Nonexistence and existence of fillable contact structures on 3-manifolds
Fan Ding, Youlin Li, Zhongtao Wu
In the first part of this paper, we construct infinitely many hyperbolic closed 3-manifolds which admit no symplectic fillable contact structure. All these 3-manifolds are obtained…
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…
Strongly exceptional Legendrian connected sum of two Hopf links
Youlin Li, Sinem Onaran
In this paper, we give a complete coarse classification of strongly exceptional Legendrian realizations of connected sum of two Hopf links in contact 3-spheres. This is the first c…