Abstract
Ananyevskiy has recently computed the stable operations and cooperations of rational Witt theory. These computations enable us to show a motivic analog of Serre's finiteness result. Theorem.Let k be a field of characteristic different from two. Then π n A 1 ( S k − ) ∗ is torsion for n > 0 . As an application, we define a category of Witt motives and show that rationally this category is equivalent to the minus part of SH ( k ) Q .
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