The η-local motivic sphere

Bertrand J. Guillou; Daniel C. Isaksen

doi:10.1016/j.jpaa.2015.03.004

The η-local motivic sphere

Bertrand J. Guillou, Daniel C. Isaksen

Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

We compute the h₁-localized cohomology of the motivic Steenrod algebra over C. This serves as the input to an Adams spectral sequence that computes the motivic stable homotopy groups of the η-local motivic sphere. We compute some of the Adams differentials, and we state a conjecture about the remaining differentials.

Original language	English
Pages (from-to)	4728-4756
Number of pages	29
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	10
DOIs	https://doi.org/10.1016/j.jpaa.2015.03.004
State	Published - Oct 1 2015

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Publisher Copyright:
© 2015 Elsevier B.V.

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2015.03.004

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abstract = "We compute the h1-localized cohomology of the motivic Steenrod algebra over C. This serves as the input to an Adams spectral sequence that computes the motivic stable homotopy groups of the η-local motivic sphere. We compute some of the Adams differentials, and we state a conjecture about the remaining differentials.",

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AB - We compute the h1-localized cohomology of the motivic Steenrod algebra over C. This serves as the input to an Adams spectral sequence that computes the motivic stable homotopy groups of the η-local motivic sphere. We compute some of the Adams differentials, and we state a conjecture about the remaining differentials.

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The η-local motivic sphere

Abstract

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