Submission: 2008, Jul 22
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.
2000 Mathematics Subject Classification: 19G99, 11E81, 18E30
Keywords and Phrases: Triangulated Witt groups, Grassmannian, Young diagrams
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