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arXiv · 2511.09875

Cluster algebra and quasimap quantum cohomology

Yingchun Zhang·Zijun Zhou
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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.

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Yingchun Zhang, Zijun Zhou. 2025-11-13. Cluster algebra and quasimap quantum cohomology. https://arxiv.org/abs/2511.09875

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