Xiu-Ping Su

Categorification and mirror symmetry for Grassmannians

The homogeneous coordinate ring C[Gr(k,n)]$\mathbb {C}[\operatorname{Gr}(k,n)]$ of the Grassmannian is a cluster algebra, with an additive categorification CMC$\operatorname{CM}C$ . In particular, every M$M$ in CMC$\operatorname{CM}C$ has a cluster character ΨM∈C[Gr(k,n)]$\Psi _M\in \mathbb {C}[\operatorname{Gr}(k,n)]$...