Add to ORKGWe show that there exists an infinite family of pairwise non-isotopic Legendrian knots in the standard contact 3-sphere whose Stein traces are equivalent. This is the first example of such phenomenon. Different constructions are developed in the article, including a contact annulus twist, explicit Weinstein handlebody equivalences, and a discussion on dualizable patterns in the contact setting. These constructions can be used to systematically construct distinct Legendrian knots in the standard contact 3-sphere with contactomorphic (-1)-surgeries and, in many cases, equivalent Stein traces. In addition, we also discuss characterizing slopes and provide results in the opposite direction, i.e. describe cases in which the Stein trace, or the c...
We establish some general relations between Heegaard Floer based contact invariants. In particular, ...
We construct infinitely many distinct simply connected Stein fillings of a certain infinite family o...
We first review some basic facts of contact and symplectic topology. Symplectic cobordisms are the o...
We explore the construction of Legendrian spheres in contact manifolds of any dimension. Two constru...
Abstract. In this note, we classify Stein fillings of an infinite family of contact 3-manifolds up t...
For $n\ge 4$, we show that there are infinitely many formally contact isotopic embeddings of $(ST^*S...
We prove that all rational slopes are characterizing for the knot $5_2$, except possibly for positiv...
We construct an algorithm to decide whether two given Legendrian or transverse links are equivalent....
In this note we exhibit concrete examples of characterizing slopes for the knot $12n242$, aka the $(...
In the present thesis we introduce an extension of the contact connected sum, in the sense that we r...
We give a quantitative refinement of the invariance of the Legendrian contact homology algebra in ge...
In this thesis we study topology of symplectic fillings of contact manifolds supported by planar ope...
Legendrian contact homology (LCH) is a powerful non-classical invariant of Legendrian knots. Linear...
We combine Freedman's topology with Eliashberg's holomorphic theory to construct Stein neighborhood ...
Conjecturally, a knot in the 3-sphere has only finitely many non-integer non-characterizing slopes. ...
We establish some general relations between Heegaard Floer based contact invariants. In particular, ...
We construct infinitely many distinct simply connected Stein fillings of a certain infinite family o...
We first review some basic facts of contact and symplectic topology. Symplectic cobordisms are the o...
We explore the construction of Legendrian spheres in contact manifolds of any dimension. Two constru...
Abstract. In this note, we classify Stein fillings of an infinite family of contact 3-manifolds up t...
For $n\ge 4$, we show that there are infinitely many formally contact isotopic embeddings of $(ST^*S...
We prove that all rational slopes are characterizing for the knot $5_2$, except possibly for positiv...
We construct an algorithm to decide whether two given Legendrian or transverse links are equivalent....
In this note we exhibit concrete examples of characterizing slopes for the knot $12n242$, aka the $(...
In the present thesis we introduce an extension of the contact connected sum, in the sense that we r...
We give a quantitative refinement of the invariance of the Legendrian contact homology algebra in ge...
In this thesis we study topology of symplectic fillings of contact manifolds supported by planar ope...
Legendrian contact homology (LCH) is a powerful non-classical invariant of Legendrian knots. Linear...
We combine Freedman's topology with Eliashberg's holomorphic theory to construct Stein neighborhood ...
Conjecturally, a knot in the 3-sphere has only finitely many non-integer non-characterizing slopes. ...
We establish some general relations between Heegaard Floer based contact invariants. In particular, ...
We construct infinitely many distinct simply connected Stein fillings of a certain infinite family o...
We first review some basic facts of contact and symplectic topology. Symplectic cobordisms are the o...