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Equivariant formality of isotropic torus...

Carlson, Jeffrey D....

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Equivariant formality of isotropic torus actions by Carlson, Jeffrey D. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	Considering the potential equivariant formality of the left action of a connected Lie group $K$ on the homogeneous space $G/K$, we arrive through a sequence of reductions at the case $G$ is compact and simply-connected and $K$ is a torus. We then classify all pairs $(G,S)$ such that $G$ is compact connected Lie and the embedded circular subgroup $S$ acts equivariantly formally on $G/S$. In the process we provide what seems to be the first published proof of the structure (known to Leray and Koszul) of the cohomology rings $H^*(G/S;\mathbb Q)$.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1410.5740

Citation

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AMA 11th EditionReferences

Carlson, Jeffrey D.. Equivariant formality of isotropic torus actions. Australian National University. September 06, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/23739

APA 7th EditionReferences

Carlson, Jeffrey D.. (2023). Equivariant formality of isotropic torus actions. Australian National University. https://online.provdatabase.com/cite/23739

Chicago 17th EditionReferences

Carlson, Jeffrey D.. Equivariant formality of isotropic torus actions. Australian National University. 2023. https://online.provdatabase.com/cite/23739

HarvardReferences

Carlson, Jeffrey D.. (2023). Equivariant formality of isotropic torus actions. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23739. (Accessed 20 September 2024).

Harvard AustraliaReferences

Carlson, Jeffrey D., 2023, Equivariant formality of isotropic torus actions, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/23739>

MLA 9th EditionWorks Cited

Carlson, Jeffrey D.. Equivariant formality of isotropic torus actions. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23739.

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