Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces
Author: Victor Guillemin
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 158
ISBN-13: 1461202698
DOWNLOAD EBOOKThe 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.