Paul Balmer:
Triangular Witt groups. Part I: The 12-term localization exact sequence

balmer@math.rutgers.edu

Submission: 1999, Mar. 23; modified: 1999, May 10

To a short exact sequence of triangulated categories with duality, we associate a long exact sequence of Witt groups. For this, we introduce {\it higher Witt groups} in a very algebraic and pretty 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 {\it residue homomorphisms}.

1991 Mathematics Subject Classification: 11E81, 18E30, 19G12

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