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math.SG2002
The Kernel of the Equivariant Kirwan Map and the Residue Formula
Lisa C. Jeffrey, Augustin-Liviu Mare
Using the notion of equivariant Kirwan map, as defined by Goldin, we prove that -- in the case of Hamiltonian torus actions with isolated fixed points -- Tolman and Weitsman's desc…
math.SG2002
The Kirwan map, equivariant Kirwan maps, and their kernels
Lisa C. Jeffrey, Augustin-Liviu Mare, Jonathan M. Woolf
Consider a Hamiltonian action of a compact Lie group K on a compact symplectic manifold. We find descriptions of the kernel of the Kirwan map corresponding to a regular value of th…
math.SG2002
Cohomology of symplectic reductions of generic coadjoint orbits
R. F. Goldin, A. -L. Mare
Let mathcal{O}_lambda be a generic coadjoint orbit of a compact semi-simple Lie group K. Weight varieties are the symplectic reductions of mathcal{O}_lambda by the maximal torus T…