The T-equivariant integral cohomology ring of F4/T

Takashi Sato

doi:10.1215/21562261-2801786

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Home > Journals > Kyoto J. Math. > Volume 54 > Issue 4 > Article

Winter 2014 The

T

-equivariant integral cohomology ring of

F_{4}/T

Takashi Sato

Kyoto J. Math. 54(4): 703-726 (Winter 2014). DOI: 10.1215/21562261-2801786

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Abstract

We determine the $T$ -equivariant integral cohomology of $F_{4}/T$ combinatorially by the Goresky, Kottwitz, and MacPherson (GKM) theory, where $T$ is a maximal torus of the exceptional Lie group $F_{4}$ and acts on $F_{4}/T$ by the left multiplication.

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Takashi Sato. "The $T$ -equivariant integral cohomology ring of $F_{4}/T$ ." Kyoto J. Math. 54 (4) 703 - 726, Winter 2014. https://doi.org/10.1215/21562261-2801786