Convexity Properties of Hamiltonian Group Actions

Presents a monograph on convexity properties of moment mappings in symplectic geometry. This book reviews various infinite-dimensional manifestations of moment convexity, such as the Kostant type theorems for orbits of a loop group (due to Atiyah and Pressley) or a symplectomorphism group (due to Bloch, Flaschka and Ratiu).