The equivariant integral cohomology ring of the flag manifold of type C

Takashi Sato

doi:10.1215/21562261-3600229

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Home > Journals > Kyoto J. Math. > Volume 56 > Issue 3 > Article

September 2016 The equivariant integral cohomology ring of the flag manifold of type

C

Takashi Sato

Kyoto J. Math. 56(3): 681-687 (September 2016). DOI: 10.1215/21562261-3600229

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Abstract

We determine the $T$ -equivariant integral cohomology ring of the flag manifold $\operatorname{Sp}(n)/T$ as a quotient ring of a polynomial ring, where $T$ is a maximal torus of $\operatorname{Sp}(n)$ and acts on $\operatorname{Sp}(n)/T$ by left multiplication.

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Takashi Sato. "The equivariant integral cohomology ring of the flag manifold of type $C$ ." Kyoto J. Math. 56 (3) 681 - 687, September 2016. https://doi.org/10.1215/21562261-3600229