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The $\mathbb{Z}/2$ ordinary cohomology o...

Costenoble, Steven R...

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The $\mathbb{Z}/2$ ordinary cohomology of $B_G U(1)$ by Costenoble, Steven R. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-09-2023
Summary	With $G = \mathbb{Z}/2$, we calculate the ordinary $G$-cohomology (with Burnside ring coefficients) of $\mathbb{C}P_G^\infty = B_GU(1)$, the complex projective space, a model for the classifying space for $G$-equivariant complex line bundles. The $RO(G)$-graded ordinary cohomology was calculated by Gaunce Lewis, but here we extend to a larger grading in order to capture a more natural set of generators, including the Euler class of the canonical bundle.
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/1312.0926

Citation

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AMA 11th EditionReferences

Costenoble, Steven R.. The $\mathbb{Z}/2$ ordinary cohomology of $B_G U(1)$. Australian National University. September 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/22904

APA 7th EditionReferences

Costenoble, Steven R.. (2023). The $\mathbb{Z}/2$ ordinary cohomology of $B_G U(1)$. Australian National University. https://online.provdatabase.com/cite/22904

Chicago 17th EditionReferences

Costenoble, Steven R.. The $\mathbb{Z}/2$ ordinary cohomology of $B_G U(1)$. Australian National University. 2023. https://online.provdatabase.com/cite/22904

HarvardReferences

Costenoble, Steven R.. (2023). The $\mathbb{Z}/2$ ordinary cohomology of $B_G U(1)$. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/22904. (Accessed 20 September 2024).

Harvard AustraliaReferences

Costenoble, Steven R., 2023, The $\mathbb{Z}/2$ ordinary cohomology of $B_G U(1)$, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/22904>

MLA 9th EditionWorks Cited

Costenoble, Steven R.. The $\mathbb{Z}/2$ ordinary cohomology of $B_G U(1)$. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/22904.

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