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Triangular Witt groups. I: The 12-term localization exact sequence. (English) Zbl 0953.18003
Author’s abstract: “To a short exact sequence of triangulated categories with duality, we associate a long exact sequence of Witt groups. For this, we introduce higher Witt groups in a very algebraic and explicit way. Since those Witt groups are 4-periodic, this long exact sequence reduces to a cyclic 12-term one. Of course, in addition to higher Witt groups, we need to construct connecting homomorphisms, hereafter called residue homomorphisms”.

18E30 Derived categories, triangulated categories (MSC2010)
11E81 Algebraic theory of quadratic forms; Witt groups and rings
19G12 Witt groups of rings
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