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math.DG2002
A cohomology attached to a function
Philippe Monnier
In this paper, we study a certain cohomology attached to a smooth function, which arose naturally in Poisson geometry. We explain how this cohomology depends on the function, and w…
math.DG2002
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…