stratified symplectic space

Definition

A stratified symplectic space $X$ is a stratified space with a smooth structure $C^{\infty }(X)$ such that:

1. each stratum $S$ is a symplectic manifold
2. $C^{\infty }(X)$ is a Poisson algebra
3. the embedding $S\hookrightarrow X$ are Poisson.

References

@sjamaar1991Stratified