The cohomology of c2-equivariant a(1) and the homotopy of koc2

Bertrand J. Guillou; Michael A. Hill; Daniel C. Isaksen; Douglas Conner Ravenel

doi:10.2140/tunis.2020.2.567

The cohomology of c₂-equivariant a(1) and the homotopy of ko_c2

Bertrand J. Guillou
, Michael A. Hill
, Daniel C. Isaksen
, Douglas Conner Ravenel

Mathematics

Producción científica: Article › revisión exhaustiva

19 Citas (Scopus)

Resumen

We compute the cohomology of the subalgebra A^C2(1) of the C₂-equivariant Steenrod algebra A^C2. This serves as the input to the C₂-equivariant Adams spectral sequence converging to the completed RO(C₂)-graded homotopy groups of an equivariant spectrum ko_C2 . Our approach is to use simpler ℂ-motivic and ℝ-motivic calculations as stepping stones.

Idioma original	English
Páginas (desde-hasta)	567-632
Número de páginas	66
Publicación	Tunisian Journal of Mathematics
Volumen	2
N.º	3
DOI	https://doi.org/10.2140/tunis.2020.2.567
Estado	Published - 2020

Nota bibliográfica

Publisher Copyright:
© 2020, Mathematical Science Publishers. All rights reserved.

Financiación

The authors were supported by NSF grants DMS-1710379, DMS-1509652, DMS-1606290, and DMS-1606623 and by Simons Collaboration Grant No. 282316.

Financiadores	Número del financiador
Simons Collaboration	282316
National Science Foundation Arctic Social Science Program	1710379, 1509652, DMS-1606623, DMS-1606290, DMS-1710379, DMS-1509652
National Science Foundation Arctic Social Science Program

ASJC Scopus subject areas

General Mathematics

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AU - Ravenel, Douglas Conner

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KW - Cohomology of the Steenrod algebra

KW - Equivariant K-theory

KW - Equivariant homotopy

KW - Motivic homotopy

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