2025/08/21 by Gu, Zhaoxing, Yu, Song, YU, Tony Yue
#Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14N35 #Secondary 14E30 #Symplectic Geometry (math.SG)
paper · doi:10.48550/arxiv.2508.15770
We prove a decomposition theorem for the quantum cohomology of variations of GIT quotients. More precisely, for any reductive group G and a simple G-VGIT wall-crossing X- \dashrightarrow X+ with a wall S, we show that the quantum D-module of X- can be decomposed into a direct sum of that of X+ and copies of that of S. As an application, we obtain a decomposition theorem for the quantum cohomology of local models of standard flips in birational geometry.