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Title: The greedy basis equals the theta basis: A rank two haiku
Authors: Cheung, Man Wai
Gross, Mark
Muller, Greg
Musiker, Gregg
Rupel, Dylan
Stella, Salvatore
Williams, Harold
First Published: 26-Aug-2016
Publisher: Elsevier for Academic Press
Citation: Journal of Combinatorial Theory. Series A, 2017, 145, pp. 150-171
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.
DOI Link: 10.1016/j.jcta.2016.08.004
ISSN: 0097-3165
eISSN: 1096-0899
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © Elsevier for Academic Press 2016. This version of the paper is an open-access article distributed under the terms of the Creative Commons Attribution-Non Commercial-No Derivatives License (, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.
Appears in Collections:Published Articles, Dept. of Mathematics

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