The greedy basis equals the theta basis

Dylan Rupel; Gregg Musiker; Greg Muller; Harold Williams; Man Wai Cheung; Mark Gross; Salvatore Stella

arxiv: 1508.01404 · v2 · pith:3CQSL4SLnew · submitted 2015-08-06 · 🧮 math.QA · math.AG· math.CO

The greedy basis equals the theta basis

Man Wai Cheung , Mark Gross , Greg Muller , Gregg Musiker , Dylan Rupel , Salvatore Stella , Harold Williams This is my paper

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keywords basisgreedythetaalgebrabasescanonicalclusterequality

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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.

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The greedy basis equals the theta basis

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