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Motivic connective<i>K</i>-theories and the cohomology of A(1)

Motivic connective<i>K</i>-theories and the cohomology of A(1)

Abstract We make some computations in stable motivic homotopy theory over Spec ℂ, completed at 2. Using homotopy fixed points and the algebraic K -theory spectrum, we construct over ℂ a motivic analogue of the real K -theory spectrum KO . We also establish a theory of motivic connective covers …