Grothendieck-Witt groups of projective bundles , by Charles Walter

The derived Witt and Grothendieck-Witt groups of a projective-space bundle over a noetherian scheme are calculated in terms of those of the base using derived-category methods. All shifts and twists are treated. The formulas obtained differ sharply from the classical projective bundle formula for Chow groups and other oriented cohomology theories.

Charles Walter <walter@math.unice.fr >