Add to ORKGWe study the existence of positive loops of contactomorphisms on a Liouville-fillable contact manifold (&Sgr;, ξ = ker(α)). Previous results (see [1]) show that a large class of Liouville-fillable contact manifolds admit contractible positive loops. In contrast, we show that for any Liouville-fillable (&Sgr;, α) with dim(&Sgr;) ≥ 7, there exists a Liouville-fillable contact structure ξ\u27 on &Sgr; which admits no positive loop at all. Further, ξ\u27 can be chosen to agree with ξ\u27 on the complement of a Darboux ball. We then define a relative version of orderability for a Legendrian submanifold, and discuss the relationship between the two notions
Given a contact structure on a manifold V together with a supporting open book decomposition, Bourge...
We show that the image of a Legendrian submanifold under a homeomorphism that is the $C^0$-limit of ...
Let Y be a closed, oriented 3-manifold. The set F_Y of homotopy classes of positive, fillable contac...
We study the existence of positive loops of contactomorphisms on a Liouville-fillable contact manifo...
In this paper, we prove that there exist contractible positive loops of Legendrian embeddings based ...
43 pages. v2: more details, mainly in Section 5. Changes in introduction, added some references and ...
Positive loops of Legendrian embeddings are examined from the point of view of Floer homology of Lag...
We introduce a new method to obstruct Liouville and weak fillability. Using this, we show that vario...
Gromov’s famous non-squeezing theorem (1985) states that the standard symplectic ball cannot be symp...
In the thesis, we have studied the problem of positive Lengendrian isotopies. That is to say, the is...
Given a variety of contact M, a subvariety L is said Legendriana if it is tangent to the contact dis...
In this article we prove that the Weinstein conjecture holds for contact manifolds $({\rm\Sigma},{\i...
For a closed connected manifold N, we establish the existence of geometric structures on various sub...
Given a contact structure on a manifold V together with a supporting open book decomposition, Bourge...
This dissertation contains results that contribute to and use the theory of convex hypersurfaces in ...
Given a contact structure on a manifold V together with a supporting open book decomposition, Bourge...
We show that the image of a Legendrian submanifold under a homeomorphism that is the $C^0$-limit of ...
Let Y be a closed, oriented 3-manifold. The set F_Y of homotopy classes of positive, fillable contac...
We study the existence of positive loops of contactomorphisms on a Liouville-fillable contact manifo...
In this paper, we prove that there exist contractible positive loops of Legendrian embeddings based ...
43 pages. v2: more details, mainly in Section 5. Changes in introduction, added some references and ...
Positive loops of Legendrian embeddings are examined from the point of view of Floer homology of Lag...
We introduce a new method to obstruct Liouville and weak fillability. Using this, we show that vario...
Gromov’s famous non-squeezing theorem (1985) states that the standard symplectic ball cannot be symp...
In the thesis, we have studied the problem of positive Lengendrian isotopies. That is to say, the is...
Given a variety of contact M, a subvariety L is said Legendriana if it is tangent to the contact dis...
In this article we prove that the Weinstein conjecture holds for contact manifolds $({\rm\Sigma},{\i...
For a closed connected manifold N, we establish the existence of geometric structures on various sub...
Given a contact structure on a manifold V together with a supporting open book decomposition, Bourge...
This dissertation contains results that contribute to and use the theory of convex hypersurfaces in ...
Given a contact structure on a manifold V together with a supporting open book decomposition, Bourge...
We show that the image of a Legendrian submanifold under a homeomorphism that is the $C^0$-limit of ...
Let Y be a closed, oriented 3-manifold. The set F_Y of homotopy classes of positive, fillable contac...