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A construction of Witt complexes via residual complexes.

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KAH - K-theory, algebraic cycles and motivic homotopy theory

The Witt complex of a scheme can be thought of as the negative degree part of Gersten complexes for Milnor-Witt K-theory. Depending on the data of a residual complex, we will describe generalisations of the classical second residue homormophism for Witt groups – which are the prototype for the boundary maps appearing in the Witt complex. We'll sketch why our residue homomorphisms assemble to form a Witt complex – even in characteristic 2 – with a focus on understanding the similarities between our construction and Balmer's




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