Cluster algebra and quasimap quantum cohomology
Algebraic Geometry
2025-11-14 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Representation Theory
Abstract
We apply the abelianization technique to obtain an explicit ring presentation for the quasimap quantum cohomology of GIT quotients. As an application, for quiver varieties associated with oriented-acyclic quivers, we establish a cluster algebra structure on their equivariant quasimap quantum cohomology rings.
Keywords
Cite
@article{arxiv.2511.09875,
title = {Cluster algebra and quasimap quantum cohomology},
author = {Yingchun Zhang and Zijun Zhou},
journal= {arXiv preprint arXiv:2511.09875},
year = {2025}
}
Comments
33 pages