A possible new approach to the motivic spectral sequence for algebraic K-theory, by Vladimir Voevodsky

This paper is an expanded version of the talk given at the Great Lakes Algebraic K-theory conference in Toronto (2000). It contains a description of an approach to the spectral sequence relating algebraic K-theory and motivic cohomology based on the idea of slices. Modulo two general conjectures about the structure of the motivic stable homotopy category we prove that the slices of the algebraic K-theory spectrum are the motivic Eilenberg-MacLane spectra.

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