A comparison theorem for MW-motivic cohomology

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17 pages

1st appeared online on the 8-12-2014

MSC 2010: 11E70, 13D15, 14F42, 19E15, 19G38, 11E81, 14A99, 14C35, 19D45

This text relies on Finite Chow-Witt correspondences. We identify the geneneralized motivic cohomology groups of a perfect field with Milnor-Witt K-theory of that field. This gives an analogue of the Nesterenko-Suslin-Totaro-Voevodsky theorem identifying motivic cohomology of a field with its Milnor K-theory.

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