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• W3026808857 abstract "For each Dynkin diagram D, we define a configuration M_D and a partial compactification tM_D. For D = A_{n-3}, we have M_{A_{n-3}} = M_{0,n}, the configuration space of n-points on P^1, and the partial compactification tM_{A_{n-3}} was studied in this case by Brown. The space tM_D is a smooth affine algebraic variety with a stratification in bijection with the faces of the Chapoton-Fomin-Zelevinsky generalized associahedron. The regular functions on tM_D are generated by coordinates u_gamma, in bijection with the cluster variables of type D, and the relations are described completely in terms of the compatibility degree function of the cluster algebra. As an application, we define and study cluster algebra analogues of tree-level open string amplitudes." @default.
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• W3026808857 date "2020-05-22" @default.
• W3026808857 modified "2023-09-27" @default.
• W3026808857 title "Cluster configuration spaces of finite type" @default.
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