Moment maps and combinatorial invariants of Hamiltonian T[n]-spaces
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Bibliographic Information
Moment maps and combinatorial invariants of Hamiltonian T[n]-spaces
（Progress in mathematics, v. 122）
Springer Science+Business Media, c1994
- : softcover
- Other Title
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Moment maps and combinatorial invariants of Hamiltonian Tn-spaces
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Note
Includes bibliographic references (p. [147] -150)
Originally published: Boston : Birkhäuser, 1994
On t.p. "[n]" is superscript
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"