Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces

by Victor W. Guillemin

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.

159 pages, Hardcover

First published December 1, 1994

About the author

Victor William Guillemin mathematician

Reviews

[Andrew]

It's a survey of toric varieties from a symplectic point of view.