Geometric description of the connecting homomorphism for Witt groups

pdf, 324 Ko
(or on arXiv)
26 pages

Documenta Mathematica, 14, 2009, p. 525-550
(1st online appearance of the preprint on the 21-7-2008)

MSC 2010: 19G12, 11E81

Under general geometric hypotheses, we give a way to construct the connecting homomorphism in the localization long exact sequence for Witt groups, involving only pull-backs and push-forwards.

In another preprint, we explain how to use this result to compute the Witt groups of Grassmann varieties.

mucha