Provides a systematic treatment of numerous symplectic geometry questions in the context of cobordisms of Hamiltonian groups actions. The monograph analyzes abstract moment maps, symplectic reduction, the Duistermaat-Heckman formula, geometric quantization, and the quantization commutes with reduction theorem. The second half of the book consists of ten appendices that list signs and normalization conventions, introduce the theory of proper group actions on manifolds, and review the definitions and basic properties of stable complex and spin structures. Annotation c. Book News, Inc., Portland, OR (booknews.com)