Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Priddis, Nathan, Shoemaker, Mark, Wen, Yaoxiong
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212883
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops. Nathan Priddis, Mark Shoemaker and Yaoxiong Wen. SIGMA 21 (2025), 008, 33 pages

We prove the crepant transformation conjecture for relative Grassmann flops over a smooth base . We show that the -functions of the respective GIT quotients are related by analytic continuation and a symplectic transformation. We verify that the symplectic transformation is compatible with Iritani&#...