3 citations · 3 across the 4 of their papers we have counts for
5 papers
On the First Cohomology of Infinitesimal Poisson Algebras
D. García-Beltrán, J. C. Ruíz-Pantaleón, E. Velasco-Barreras
For the so-called infinitesimal Poisson algebras encoding first-order jets of Poisson submanifolds, we provide a description of their first cohomology in terms of intrinsic cohomol…
Geometrical Aspects of the Hamiltonization Problem of Dynamical Systems
Misael Avendaño-Camacho, Claudio C. García-Mendoza, José C. Ruíz-Pantaleón +1
Some positive answers to the problem of endowing a dynamical system with a Hamiltonian formulation are presented within the class of Poisson structures in a geometric framework. We…
Bigraded cochain complexes and Poisson cohomology
Andrés Pedroza, Eduardo Velasco-Barreras, Yury Vorobiev
We present an algebraic framework for the computation of low-degree cohomology of a class of bigraded complexes which arise in Poisson geometry around (pre)symplectic leaves. We al…
Unimodularity Criteria for Poisson Structures on Foliated Manifolds
Andrés Pedroza, Eduardo Velasco-Barreras, Yury Vorobiev
We study the behavior of the modular class of an orientable Poisson manifold and formulate some unimodularity criteria in the semilocal context, around a (singular) symplectic leaf…
On the splitting of infinitesimal Poisson automorphisms around symplectic leaves
Eduardo Velasco-Barreras, Yury Vorobiev
A geometric description of the first Poisson cohomology groups is given in the semilocal context, around (possibly singular) symplectic leaves. This result is based on the splittin…