2 papers
math.SG2025
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…
math.SG2025
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…