Moment maps and combinatorial invariants of Hamiltonian T[n]-spaces
著者
書誌事項
Moment maps and combinatorial invariants of Hamiltonian T[n]-spaces
（Progress in mathematics, v. 122）
Springer Science+Business Media, c1994
- : softcover
- タイトル別名
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Moment maps and combinatorial invariants of Hamiltonian Tn-spaces
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注記
Includes bibliographic references (p. [147] -150)
Originally published: Boston : Birkhäuser, 1994
On t.p. "[n]" is superscript
内容説明・目次
内容説明
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.
目次
1. Basic Definitions and Examples.- 2. The Duistermaat-Heckman Theorem.- 3. Multiplicities as Invariants of Reduced Spaces.- 4. Partition Functions.- Appendix 1. Toric Varieties.- Appendix 2. Kaehler Structures on Toric Varieties.- References.
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