DOI: 10.1093/imrn/rnag252 ISSN: 1073-7928

Cluster algebra and quasimap quantum cohomology

Yingchun Zhang, Zijun Zhou

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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