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An Unstable Change of Rings for Morava E...

Thompson, Robert...

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An Unstable Change of Rings for Morava E-Theory by Thompson, Robert ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	12-09-2014
Summary	The Bousfield-Kan (or unstable Adams) spectral sequence can be constructed for various homology theories such as Brown-Peterson homology theory BP, Johnson-Wilson theory E(n), or Morava E-theory En. For nice spaces the E2-term is given by Ext in a category of unstable comodules. We establish an unstable Morava change of rings isomorphism between ExtUΓB(B,M) and ExtUEn∗En/In(En∗/In,En∗⊗BP∗M) where (B,ΓB) denotes the Hopf Algebroid (v−1nBP∗/In,v−1nBP∗BP/In). We show that the latter groups can be interpreted as Ext in the category of continuous modules over the profinite monoid of endomorphisms of the Honda formal group law. By comparing this with the cohomology of the Morava stabilizer group we obtain an unstable Morava vanishing theorem when p−1∤n.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1409.3890

Citation

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AMA 11th EditionReferences

Thompson, Robert. An Unstable Change of Rings for Morava E-Theory. Australian National University. September 12, 2014. Accessed October 01, 2025. https://online.provdatabase.com/cite/18012

APA 7th EditionReferences

Thompson, Robert. (2014). An Unstable Change of Rings for Morava E-Theory. Australian National University. https://online.provdatabase.com/cite/18012

Chicago 17th EditionReferences

Thompson, Robert. An Unstable Change of Rings for Morava E-Theory. Australian National University. 2014. https://online.provdatabase.com/cite/18012

HarvardReferences

Thompson, Robert. (2014). An Unstable Change of Rings for Morava E-Theory. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/18012. (Accessed 01 October 2025).

Harvard AustraliaReferences

Thompson, Robert, 2014, An Unstable Change of Rings for Morava E-Theory, Australian National University, viewed 01 October 2025, <https://online.provdatabase.com/cite/18012>

MLA 9th EditionWorks Cited

Thompson, Robert. An Unstable Change of Rings for Morava E-Theory. Australian National University, 2014. PROV Database, https://online.provdatabase.com/cite/18012.

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