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Equivariant cohomology of quaternionic flag manifolds

Augustin-Liviu Mare
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Abstract

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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Augustin-Liviu Mare. 2006-05-18. Equivariant cohomology of quaternionic flag manifolds. https://arxiv.org/abs/math/0605539

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