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arxiv: math/0605539 · v1 · submitted 2006-05-18 · 🧮 math.DG · math.AT

Equivariant cohomology of quaternionic flag manifolds

classification 🧮 math.DG math.AT
keywords cohomologydescriptionequivariantmathbbringtypeborelcomplete
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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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