1 citations · 1 across the 9 of their papers we have counts for
7 papers · 1 filter
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…
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…
Relations in the quantum cohomology ring of G/B
A. -L. Mare
The ideal of relations in the (small) quantum cohomology ring of the generalized flag manifold has been determined by B. Kim. We are going to point out a limited number of pr…
Steepest descent on real flag manifolds
J. -H. Eschenburg, A. -L. Mare
Real flag manifolds are the isotropy orbits of noncompact symmetric spaces . Any such manifold enjoys two very peculiar geometric properties: It carries a transitive actio…