4 citations · 15 across the 26 of their papers we have counts for
32 papers
Flag manifolds, spaces of frames, and connectedness properties
Augustin-Liviu Mare
For integers and real numbers and , we investigate the space of all matrices such that the product i…
Simply connectedness of spaces of tight frames
Augustin-Liviu Mare
Complex tight frames can be canonically viewed as elements of a complex Stiefel manifold. We present a class of spaces of such frames which are simply connected relative to the sub…
Connectivity properties of the Schur-Horn map for real Grassmannians
Augustin-Liviu Mare
To any in the Grassmannian of -dimensional vector subspaces in one can associate the diagonal entries of the () matrix…
On the equivariant cohomology of hyperpolar actions on symmetric spaces
Oliver Goertsches, Sam Hagh Shenas Noshari, Augustin-Liviu Mare
We show that the equivariant cohomology of any hyperpolar action of a compact and connected Lie group on a symmetric space of compact type is a Cohen-Macaulay ring. This generalize…
The equivariant cohomology ring of a cohomogeneity-one action
Jeffrey D. Carlson, Oliver Goertsches, Chen He +1
We compute the rational Borel equivariant cohomology ring of a cohomogeneity-one action of a compact Lie group.
Equivariant cohomology of cohomogeneity one actions: the topological case
Oliver Goertsches, Augustin-Liviu Mare
We show that for any cohomogeneity one continuous action of a compact connected Lie group on a closed topological manifold the equivariant cohomology equipped with its canonica…