Cluster algebra and quasimap quantum cohomology
Abstract We apply the abelianization technique to obtain an explicit ring presentation for the quasimap quantum cohomology of geometric invariant theory (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.
Authors
- Yingchun Zhang (ORCID: https://orcid.org/0000-0002-1927-4103)
- Zijun Zhou (ORCID: https://orcid.org/0009-0009-4447-1035)
Institutions
- Shanghai Jiao Tong University (CN)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2026-10-27
- DOI
- https://doi.org/10.1093/imrn/rnag252
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00