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Products of conjugacy classes in SU(2)
Lisa C. Jeffrey, Augustin-Liviu Mare
We obtain a complete description of collections of n conjugacy classes in SU(2) with the property that the multiplication map from the product of these n conjugacy classes to SU(2)…
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…
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…
The residue formula and the Tolman-Weitsman theorem
Lisa C. Jeffrey
We give a simple direct proof (for the case of Hamiltonian circle actions with isolated fixed points) that Tolman and Weitsman's description of the kernel of the Kirwan map (in oth…