Witt groups of Spinor varieties. Issue 5 (30th August 2022)

• Record Type: Journal Article
• Authors: Hudson, Thomas; Martirosian, Arthur; Xie, Heng
• Is Part Of: Proceedings of the London Mathematical Society. Volume 125:Issue 5(2022)
• Page Start: 1152
• Page End: 1178
• Publication Date: 2022-08-30
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1112/plms.12479
• Languages: English
• ISSNs: 0024-6115

Abstract

Abstract: 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.