Cluster algebra and quasimap quantum cohomology
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915614764826624 |
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| author | Zhang, Yingchun Zhou, Zijun |
| author_facet | Zhang, Yingchun Zhou, Zijun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09875 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cluster algebra and quasimap quantum cohomology Zhang, Yingchun Zhou, Zijun Algebraic Geometry High Energy Physics - Theory Mathematical Physics Representation Theory 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. |
| title | Cluster algebra and quasimap quantum cohomology |
| topic | Algebraic Geometry High Energy Physics - Theory Mathematical Physics Representation Theory |
| url | https://arxiv.org/abs/2511.09875 |