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paper

The greedy basis equals the theta basis

arXiv:1508.01404 · doi:10.1016/j.jcta.2016.08.004

Abstract

We prove the equality of two canonical bases of a rank 2 cluster algebra, the greedy basis of Lee-Li-Zelevinsky and the theta basis of Gross-Hacking-Keel-Kontsevich.

17 pages