An A_n cluster algebra injects into the equivariant quantum cohomology ring of a partial flag variety, and all-genus Gromov-Witten invariants are mutation-invariant for A-type quiver varieties.
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Cluster algebras and quantum cohomology rings: A-type
An A_n cluster algebra injects into the equivariant quantum cohomology ring of a partial flag variety, and all-genus Gromov-Witten invariants are mutation-invariant for A-type quiver varieties.