Moment Maps and Combinatorial Invariants of Hamiltonian TN-Spaces (Progress in Probability)

The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants. The simplest and most interesting of these is the moment polytopes, a convex polyhedron which sits inside the dual of the Lie algebra of G. One of the main goals of this monograph is to describe what kinds of geometric information are encoded in this polytope. This book is addressed to researchers and can be used as a semester text.Guillemin, Victor is the author of 'Moment Maps and Combinatorial Invariants of Hamiltonian TN-Spaces (Progress in Probability)' with ISBN 9783764337704 and ISBN 3764337702.