1 citations · 1 across the 9 of their papers we have counts for
10 papers
Connectivity and Kirwan surjectivity for isoparametric submanifolds
Augustin-Liviu Mare
Atiyah's formulation of what is nowadays called the convexity theorem of Atiyah-Guillemin-Sternberg has two parts: (a) the image of the moment map arising from a Hamiltonian action…
Equivariant cohomology of real flag manifolds
Augustin-Liviu Mare
Let be a semisimple non-compact Riemannian symmetric space, where and is the stabilizer of . Let be an orbit of the (isotropy) representation…
The combinatorial quantum cohomology ring of
Augustin-Liviu Mare
A purely combinatorial construction of the quantum cohomology ring of the flag manifold is presented. We show that the ring we construct is commutative, associative and satis…
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…