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Moment Maps and Combinatorial Invariants of Hamiltonian Tn-Spaces

Moment Maps and Combinatorial Invariants of Hamiltonian Tn-Spaces

Hardcover

Series: Progress in Mathematics, Book 122

General MathematicsGeometry

ISBN10: 0817637702
ISBN13: 9780817637705
Publisher: Springer Nature
Published: Dec 1 1994
Pages: 152
Weight: 0.90
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English

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.

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