We show that Witt groups of spinor varieties (aka. maximal isotropic Grassmannians) can be presented by combinatorial objects called ‘even shifted young diagrams’. Our method relies on the Blow‐up setup of Balmer–Calmès, and we investigate the connecting homomorphism of the localization sequence via the projective bundle formula of Walter–Nenashev, the projection formula of Calmès–Hornbostel and the excess intersection formula of Fasel.

No abstract

We compute Witt groups of maximal isotropic Grassmannians, aka. spinor varieties. They are examples of type D homogenuous varieties. Our method relies on the Blow-up setup of Balmer-Calmès, and we investigate the connecting homomorphism via the projective bundle formula of Walter-Nenashev, the projection formula of Calmès-Hornbostel and the excess intersection formula of Fasel. The computation in the Type D case can be presented by so called "even shifted young diagrams".

No abstract