Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces by Victor Guillemin

Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces by Victor Guillemin

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Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces by Victor 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. This book is suitable for researchers and can be used as a semester text.

"..carefully written book [on] the so-called Delzant spaces... Many of the statements in the body of the book are left as exercises (with copious hints). At the end of each chapter there are very interesting bibliographical notes. The reader who works through this book will acquire a solid knowledge of this beautiful and elegant part of mathematics."

--Mathematical Reviews

SKU Unavailable
ISBN 13 9780817637705
ISBN 10 0817637702
Title Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces
Author Victor Guillemin
Series Progress In Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Birkhauser Boston Inc
Year published 1994-12-01
Number of pages 152
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.