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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”.

MSC:
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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