Symplectic Homology via Generating Functions.
Symplectic manifolds with contact type boundaries.
Symplectic models of groups with noncommutative spaces
Symplectic packings and algebraic geometry. (with an Appendix by Y. Karshon).
Symplectic phase flow approximation for the numerical integration of canonical systems.
Symplectic Topology and Hamiltonian Dynamics.
Symplectic topology and hamiltonian dynamics
Symplectic Topology and Hamiltonian Dynamics II.
Sympletic Curvature Tensors.
Sympletic homology I. Open Sets in Cn.
Systèmes dynamiques contraints : l'approche homologique
On décrit une approche homologique des systèmes dynamiques contraints. Cette approche, directement inspirée des travaux de D. McMullan et de M. Henneaux concernant le formalisme de Batalin, Fradkin et Vilkovisky, contient une interprétation des fantômes et de leurs conjugués. Dans le cadre des systèmes dans l’espace des phases, la construction se fait en deux étapes. La première étape consiste à construire une algèbre différentielle graduée dont la cohomologie en degré zéro est l’espace des observables...
Systems of rays in the presence of distribution of hyperplanes
Horizontal systems of rays arise in the study of integral curves of Hamiltonian systems on T*X, which are tangent to a given distribution V of hyperplanes on X. We investigate the local properties of systems of rays for general pairs (H,V) as well as for Hamiltonians H such that the corresponding Hamiltonian vector fields are horizontal with respect to V. As an example we explicitly calculate the space of horizontal geodesics and the corresponding systems of rays for the canonical distribution...