Work

Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops

Year: 2025

Type: article

Abstract: 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.

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2025.008

Authors: Nathan Priddis, Mark Shoemaker, Yaoxiong Wen

Institutions: Brigham Young University, Colorado State University, Korea Institute for Advanced Study

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407189287

FWCI: 1.865

Cites:

Cited by: 2

Related to: 10