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

Keywords and Phrases:

Full text: dvi.gz 105 k, dvi 280 k, ps.gz 196 k, pdf.gz 253 k.

Server Home Page