Witt groups of Grassmann varieties

Abstract

We compute the total Witt groups of (split) Grassmann varieties, over any regular base X. The answer is a free module over the total Witt ring of X. We provide an explicit basis for this free module, which is indexed by a special class of Young diagrams, that we call even Young diagrams.

31 pages, 16 figures. Final version. Complies with the new formalism on total Witt groups recently developed by the authors (arXiv:1104.5051)

References in corpus (1)

• Push-forwards for Witt groups of schemes

Cited by in corpus (3)

• The special linear version of the projective bundle theorem
• KO-Rings of Full Flag Varieties
• Twisted Witt Groups of Flag Varieties