Algebraic G-theory in motivic homotopy categories

Published 11 Jun 2018 in math.AG and math.KT | (1806.03927v3)

Abstract: We prove that algebraic G-theory in is representable in unstable and stable motivic homotopy categories; in the stable category we identify it with the Borel-Moore theory associated to algebraic K-theory, and show that such an identification is compatible with the functorialities defined by Quillen and Thomason.

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Fangzhou Jin

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