Distinguishing the Chambers of the Moment Polytope
J. Symplectic Geom., Tome 2 (2003) no. 1, p. 109-131 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2003-10-14
Classification:  
@article{1088600549,
     author = {Goldin
, R. F. and Holm
, T. S. and Jeffrey
, L. C.},
     title = {Distinguishing the Chambers
of the Moment Polytope},
     journal = {J. Symplectic Geom.},
     volume = {2},
     number = {1},
     year = {2003},
     pages = { 109-131},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1088600549}
}

Goldin
, R. F.; Holm
, T. S.; Jeffrey
, L. C. Distinguishing the Chambers
of the Moment Polytope. J. Symplectic Geom., Tome 2 (2003) no. 1, pp.  109-131. http://gdmltest.u-ga.fr/item/1088600549/