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Cluster algebra and quasimap quantum cohomology

Yingchun Zhang, Zijun Zhou

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Source: Crossref

Published: Oct 27, 2026

DOI: 10.1093/imrn/rnag252

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Source abstract

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.

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Cluster algebra and quasimap quantum cohomology — Mathematical Frontier Network