Equivariant cohomology of quaternionic flag manifolds

Research paper by Augustin-Liviu Mare

Indexed on: 18 May '06Published on: 18 May '06Published in: Mathematics - Differential Geometry


The main result of the paper is a Borel type description of the $Sp(1)^n$-equivariant cohomology ring of the manifold $Fl_n(\mathbb{H})$ of all complete flags in $\mathbb{H}^n$. To prove this, we obtain a Goresky-Kottwitz-MacPherson type description of that ring.