6 citations · 20 across the 19 of their papers we have counts for
21 papers
Algebraic overtwistedness of contact -surgeries via augmented Floer theories
Russell Avdek, Youlin Li, Zhengyi Zhou
We prove that contact -surgery along a Legendrian -sphere with \[ \mathrm{tb}(Λ)\ne (-1)^{\frac{n(n-1)}{2}+1} \] has vanishi…
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 .
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…
Algebraically overtwisted tight -manifolds from surgeries
Youlin Li, Zhengyi Zhou
We execute Avdek's algorithm to find many algebraically overtwisted and tight -manifolds by contact surgeries. In particular, we show that a contact surgery on the st…
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…
On geography of symplectic fillings of contact branched covers
Youlin Li, Yuhe Zhang
In this paper, we determine the Euler characteristics and signatures of the exact symplectic fillings of the contact double, 3-fold or 4-fold cyclic covers of the standard contact…
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…
Some applications of Menke's JSJ decomposition for symplectic fillings
Austin Christian, Youlin Li
We apply Menke's JSJ decomposition for symplectic fillings to several families of contact 3-manifolds. Among other results, we complete the classification up to orientation-preserv…
Contact (+1)-surgeries on rational homology 3-spheres
Fan Ding, Youlin Li, Zhongtao Wu
In this paper, sufficient conditions for contact -surgeries along Legendrian knots in contact rational homology 3-spheres to have vanishing contact invariants or to be overtw…
Smoothly non-isotopic Lagrangian disk fillings of Legendrian knots
Youlin Li, Motoo Tange
In this paper, we construct the first families of distinct Lagrangian ribbon disks in the standard symplectic 4-ball which have the same boundary Legendrian knots, and are not smoo…
Contact (+1)-surgeries along Legendrian Two-component Links
Fan Ding, Youlin Li, Zhongtao Wu
In this paper, we study contact surgeries along Legendrian links in the standard contact 3-sphere. On one hand, we use algebraic methods to prove the vanishing of the contact Ozsvá…
A bound for rational Thurston-Bennequin invariants
Youlin Li, Zhongtao Wu
In this paper, we introduce a rational invariant for rationally null-homologous knots in contact 3-manifolds with nontrivial Ozsváth-Szabó contact invariants. Such an invariant…
Fillings of unit cotangent bundles of nonorientable surfaces
Youlin Li, Burak Ozbagci
We prove that any minimal weak symplectic filling of the canonical contact structure on the unit cotangent bundle of a nonorientable closed surface other than the real projective p…
Strong symplectic fillability of contact torus bundles
Fan Ding, Youlin Li
In this paper, we study strong symplectic fillability and Stein fillability of some tight contact structures on negative parabolic and negative hyperbolic torus bundles over the ci…
Hyperbolic 3-manifolds admitting no fillable contact structures
Youlin Li, Yajing Liu
In this paper, we find infinite hyperbolic 3-manifolds that admit no weakly symplectically fillable contact structures, using tools in Heegaard Floer theory. We also remark that pa…
Legendrian torus knots in S^1\times S^2
Feifei Chen, Fan Ding, Youlin Li
We classify the Legendrian torus knots in S^1\times S^2 with its standard tight contact structure up to Legendrian isotopy.
Stein fillings of contact 3-manifolds obtained as Legendrian surgeries
Amey Kaloti, Youlin Li
In this note, we classify Stein fillings of an infinite family of contact 3-manifolds up to diffeomorphism. Some contact 3-manifolds in this family can be obtained by Legendrian su…
The arc complex and contact geometry: non-destabilizable planar open book decompositions of the tight contact 3-sphere
John Etnyre, Youlin Li
In this note we introduce the (homologically essential) arc complex of a surface as a tool for studying properties of open book decompositions and contact structures. After charact…
Tight contact structures on some bounded Seifert manifolds with minimal convex boundary
Fan Ding, Youlin Li, Qiang Zhang
We classify positive tight contact structures, up to isotopy fixing the boundary, on the manifolds with minimal convex boundary of slope and Giroux torsi…
The support genus of certain Legendrian knots
Youlin Li, Jiajun Wang
In this paper, the support genus of all Legendrian right handed trefoil knots and some other Legendrian knots is computed. We give examples of Legendrian knots in the three-sphere…