4 problems
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Tagged cluster monomial compatibility conjecture
Let be tensor diagrams such that each is a cluster variable of . Let be a tagging of , with invariant…
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Cluster monomial diagram conjecture for punctured surfaces
Let be one of the two moduli spaces considered in the paper, and let be its cluster algebra. A tagged web invariant, tagged forest invarian…
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The band-operation conjecture for dual canonical basis elements
Let be the defining representation in the tensor-diagram setting, let be the relevant invariant ring, and let denote the invariant algebra.…
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Single-tensor-diagram representations of cluster variables
Let be an initial seed of a cluster algebra, and let be a cluster variable in the cluster algebra generated from that seed. Single-tensor-diagram conjecture. Ev…