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The Motivic Spectral Sequence

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Handbook of K-Theory

Abstract

We give an overview of the search for a motivic spectral sequence: a spectral sequence connecting algebraic K-theory to motivic cohomology that is analogous to the Atiyah–Hirzebruch spectral sequence that connects topological K-theory to singular cohomology.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA

    Daniel R. Grayson

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  1. Daniel R. Grayson
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Northwestern University, 60208, Evanston, IL, USA

    Eric M. Friedlander

  2. Department of Mathematics, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA

    Daniel R. Grayson

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Grayson, D. (2005). The Motivic Spectral Sequence. In: Friedlander, E., Grayson, D. (eds) Handbook of K-Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27855-9_2

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