46 citations · 55 across the 9 of their papers we have counts for
4 papers · 1 filter
Linearization of proper groupoids
Nguyen Tien Zung
We prove the following result, conjectured by Alan Weinstein: every smooth proper Lie groupoid near a fixed point is locally linearizable, i.e. it is locally isomorphic to the asso…
Levi decomposition for smooth Poisson structures
Philippe Monnier, Nguyen Tien Zung
We prove the existence of a local smooth Levi decomposition for smooth Poisson structures and Lie algebroids near a singular point. In the appendix of this paper, we show an abstra…
Levi decomposition of analytic Poisson structures and Lie algebroids
Nguyen Tien Zung
We prove the existence of a local analytic Levi decomposition for analytic Poisson structures and Lie algebroids.
Symplectic Topology of Integrable Hamiltonian Systems, II: Topological Classification
Nguyen Tien Zung
The main purpose of this paper is to give a topological and symplectic classification of completely integrable Hamiltonian systems in terms of characteristic classes and other loca…