Equivariant cohomology of quaternionic flag manifolds

Details Equivariant cohomology of quaternionic flag manifolds Equivariant cohomology of quaternionic flag manifolds

2006-05-18

arxiv.org/abs/math/0605539v1

Mathematics

Differential Geometry

12 pages

Scientific paper

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.

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