14 citations · 18 across the 7 of their papers we have counts for
8 papers
On Gauge Poisson Brackets with Prescribed Symmetry
M. Avendaño-Camacho, J. C. Ruíz-Pantaleón, Yu. Vorobiev
In the context of averaging method, we describe a reconstruction of invariant connection-dependent Poisson structures from canonical actions of compact Lie groups on fibered phase…
Symplectic scalar curvature on supermanifolds
R Hernández-Amador, JA Vallejo, Yu Vorobiev
We study the notion of symplectic scalar curvature on the supermanifold over an ordinary Fedosov manifold whose structural sheaf is that of differential forms. In this purely geome…
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…
-Invariant Deformations of Almost-Coupling Poisson Structures
José Antonio Vallejo, Yury Vorobiev
On a foliated manifold equipped with an action of a compact Lie group , we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory an…
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…
Higher order corrections to adiabatic invariants of generalized slow-fast Hamiltonian systems
M. Avendaño-Camacho, J. A. Vallejo, Yu. Vorobiev
We present a coordinate-free approach for constructing approximate first integrals of generalized slow-fast Hamiltonian systems, based on the global averaging method on parameter-d…
On the Global Structure of Normal Forms for Slow-Fast Hamiltonian Systems
M. Avendaño Camacho Yu. Vorobiev
In the framework of Lie transform and the global method of averaging, the normal forms of a multidimensional slow-fast Hamiltonian system are studied in the case when the flow of t…