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 >