Equivariant cohomology of quaternionic flag manifolds

Abstract

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

12 pages