Wall crossing and the Fourier-Mukai transform for Grassmann flops

Nathan Priddis, Mark Shoemaker, Yaoxiong Wen

Published 2024-04-18Version 1

We prove the crepant transformation conjecture for relative Grassmann flops over a smooth base $B$. We show that the $I$-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's integral structure, that is, that it is induced by a Fourier-Mukai transform in $K$-theory.