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

Producción científica: Article › revisión exhaustiva

24 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	4728-4756
Número de páginas	29
Publicación	Journal of Pure and Applied Algebra
Volumen	219
N.º	10
DOI	https://doi.org/10.1016/j.jpaa.2015.03.004
Estado	Published - oct 1 2015

Nota bibliográfica

Publisher Copyright:
© 2015 Elsevier B.V.

Financiación

Financiadores	Número del financiador
National Science Foundation (NSF)	1202213

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2015.03.004

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title = "The η-local motivic sphere",

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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UR - https://www.scopus.com/pages/publications/84929502914#tab=citedBy

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JO - Journal of Pure and Applied Algebra

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The η-local motivic sphere

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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