The greedy basis equals the theta basis: A rank two haiku

Cheung, Man Wai ; Gross, Mark ; Muller, Greg ; Musiker, Gregg ; Rupel, Dylan ; Stella, Salvatore ; Williams, Harold (2016-08-26)


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.