9 citations · 22 across the 6 of their papers we have counts for
7 papers
Poisson Cohomology of Broken Lefschetz Fibrations
Panagiotis Batakidis, Ramón Vera
We compute the formal Poisson cohomology of a broken Lefschetz fibration by calculating it at fold and Lefschetz singularities. Near a fold singularity the computation reduces to t…
On Bott-Morse Foliations and their Poisson Structures in Dimension 3
Miguel Evangelista-Alvarado, Pablo Suárez-Serrato, Jonatán Torres Orozco +1
We show that a Bott-Morse foliation in dimension 3 admits a linear, singular, Poisson structure of rank 2 with Bott-Morse singularities. We provide the Poisson bivectors for each t…
Poisson structures of near-symplectic manifolds and their cohomology
Panagiotis Batakidis, Ramón Vera
We connect Poisson and near-symplectic geometry by showing that there is a singular Poisson structure on a near-symplectic 4-manifold. The Poisson structure is defined on the t…
The Leray Dimension of a Convex Code
Carina Curto, Ramón Vera
Convex codes were recently introduced as models for neural codes in the brain. Any convex code $\C$ has an associated minimal embedding dimension $d(\C)$, which is the minimal Eucl…
Poisson and near-symplectic structures on generalized wrinkled fibrations in dimension 6
Pablo Suárez-Serrato, Jonatán Torres Orozco, Ramón Vera
We show that generalized broken fibrations in arbitrary dimensions admit rank-2 Poisson structures compatible with the fibration structure. After extending the notion of wrinkled f…
Poisson structures on smooth 4-manifolds
Luis C. García-Naranjo, Pablo Suárez-Serrato, Ramón Vera
We show that every closed oriented smooth 4-manifold admits a complete singular Poisson structure in each homotopy class of maps to the 2-sphere. The rank of this structure is 2 ou…
Near-symplectic 2n-manifolds
Ramón Vera
We give a generalization of the concept of near-symplectic structures to 2n dimensions. According to our definition, a closed 2-form ωon a 2n-manifold M is near-symplectic, if it i…