47 citations · 222 across the 23 of their papers we have counts for
27 papers
On the Finiteness of Anosov flows on -manifolds via Contact Geometry
Jonathan Bowden, Vincent Colin
In dimension 3, following Eliashberg-Thurston and Mitsumatsu, one can associate a transverse pair of oppositely oriented contact structures to any Anosov flow. We show that when th…
Towards a symplectic Khovanov homology for links in fibered -manifolds
Vincent Colin, Ko Honda, Yin Tian
The goal of this paper is twofold: (i) define a symplectic Khovanov type homology for a transverse link in a fibered closed -manifold (with an auxiliary choice of a homotopy…
Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D
Vincent Colin, Umberto Hryniewicz, Ana Rechtman
We prove that for a -generic contact form defining a given co-oriented contact structure on a closed -manifold, every hyperbolic periodic Reeb orbit admits a transvers…
Sutured Heegaard Floer and embedded contact homologies are isomorphic
Vincent Colin, Paolo Ghiggini, Ko Honda
We prove the equivalence of the sutured versions of Heegaard Floer homology, monopole Floer homology, and embedded contact homology. As applications we show that the knot versions…
Generic properties of -dimensional Reeb flows: Birkhoff sections and entropy
Vincent Colin, Pierre Dehornoy, Umberto Hryniewicz +1
In this paper we use broken book decompositions to study Reeb flows on closed -manifolds. We show that if the Liouville measure of a nondegenerate contact form can be approximat…
Applications of higher-dimensional Heegaard Floer homology to contact topology
Vincent Colin, Ko Honda, Yin Tian
The goal of this paper is to set up the general framework of higher-dimensional Heegaard Floer homology, define the contact class, and use it to give an obstruction to the Liouvill…