Symplectic and Poisson geometry

Symplectic geometry

Silva, Lectures in symplectic geometry

Berndt, An introduction to symplectic geometry

Arnold & Givental, Symplectic geometry

Audin, Torus actions on symplectic manifolds

Hofer & Zender, Symplectic invariants and Hamiltonian dynamics

Symplectic topology

McDuff & Salamon, Introduction to symplectic topology

Oh, Symplectic topology and Floer homology

Poisson geometry

Vaisman, Lectures on the geometry of Poisson manifolds

Crainic et al, Lectures on Poisson geometry

Weinstein, Poisson Geometry

da Silva & Weinstein, Geometric models of noncommutative algebras