Convexity Properties of Hamiltonian Group Actions

Convexity Properties of Hamiltonian Group Actions

by Victor Guillemin, Reyer Sjamaar
     
 

View All Available Formats & Editions

ISBN-10: 0821839187

ISBN-13: 9780821839188

Pub. Date: 11/28/2005

Publisher: American Mathematical Society

This is a monograph on convexity properties of moment mappings in symplectic geometry. The fundamental result in this subject is the Kirwan convexity theorem, which describes the image of a moment map in terms of linear inequalities. This theorem bears a close relationship to perplexing old puzzles from linear algebra, such as the Horn problem on sums of Hermitian

Overview

This is a monograph on convexity properties of moment mappings in symplectic geometry. The fundamental result in this subject is the Kirwan convexity theorem, which describes the image of a moment map in terms of linear inequalities. This theorem bears a close relationship to perplexing old puzzles from linear algebra, such as the Horn problem on sums of Hermitian matrices, on which considerable progress has been made in recent years following a breakthrough by Klyachko. The book presents a simple local model for the moment polytope, valid in the generic" case.

Product Details

ISBN-13:
9780821839188
Publisher:
American Mathematical Society
Publication date:
11/28/2005
Series:
CRM Monograph Series
Pages:
88
Product dimensions:
7.00(w) x 10.20(h) x 0.50(d)

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >