Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces

Using the methods of geometric quantization, one can frequently convert this action into a representations, p , of G on a Hilbert space, and in some sense the moment polytope is a diagrammatic picture of the irreducible representations of G which occur as subrepresentations of p. Precise versions of...

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Bibliographic Details
Main Author: Guillemin, Victor
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 1994, 1994
Edition:1st ed. 1994
Series:Progress in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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