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Cluster Geometry of Universal Schubert Polynomials I: Geometric Bases and Schubert Transitions
We study Fulton's universal Schubert polynomials $\mathfrak S_w(c)$ as regular functions on the upper unitriangular group $U_N$. The standard triangular cluster structure associates a Schubert $\sf g$-vector to every permutation. Their convex hull is unimodularly equivalent to $Δ_1\times\cdots\times
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