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Distinguishing the Chambers of the Moment Polytope | | Rebecca F. Goldin
; Tara S. Holm
; Lisa C. Jeffrey
; | | Date: |
21 Feb 2003 | | Journal: | Journal of Symplectic Geometry, vol. 2, no. 1 (2003), pp. 109-131. | | Subject: | Symplectic Geometry MSC-class: 53D20 | math.SG | | Abstract: | Let M be a compact manifold with a Hamiltonian T action and moment map Phi. The restriction map in equivariant cohomology from M to a level set Phi^{-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. | | Source: | arXiv, math.SG/0302265 | | Services: | Forum | Review | PDF | Favorites | |
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