Hamiltonian Group Actions and Equivariant Cohomology
This monograph could be used for a graduate course on symplectic geometry as well as for independent study.
The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps and orbits of the coadjoint action, symplectic quotients are studied. The convexity theorem and tori...
This monograph could be used for a graduate course on symplectic geometry as well as for independent study.
The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps and orbits of the coadjoint action, symplectic quotients are studied. The convexity theorem and tori...
