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October, 2003 Distinguishing the Chambers of the Moment Polytope
R. F. Goldin , T. S. Holm , L. C. Jeffrey
J. Symplectic Geom. 2(1): 109-131 (October, 2003).

Abstract

Let M be a compact manifold with a Hamiltonian T action and moment map Φ. The restriction map in rational equivariant cohomology from M to a level set Φ-1(p) is a surjection, and we denote the kernel by I(p). When T has isolated fixed points, we show that I(p) distinguishes the chambers of the moment polytope for M. In particular, counting the number of distinct ideals I(p) as (p) varies over different chambers is equivalent to counting the number of chambers.

Citation

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R. F. Goldin . T. S. Holm . L. C. Jeffrey . "Distinguishing the Chambers of the Moment Polytope." J. Symplectic Geom. 2 (1) 109 - 131, October, 2003.

Information

Published: October, 2003
First available in Project Euclid: 30 June 2004

zbMATH: 1076.53107
MathSciNet: MR2128390

Rights: Copyright © 2003 International Press of Boston

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Vol.2 • No. 1 • October, 2003
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