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

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:145

Article

Cheung, Man Wai¹  Gross, Mark²  Muller, Greg³  Musiker, Gregg⁴  Rupel, Dylan⁵  Stella, Salvatore⁶  Williams, Harold⁷ 

[1] Univ Calif San Diego, San Diego, CA 92103 USA

[2] Univ Cambridge, Cambridge CB2 1TN, England

[3] Univ Michigan, Ann Arbor, MI 48109 USA

[4] Univ Minnesota, Minneapolis, MN 55455 USA

[5] Univ Notre Dame, Notre Dame, IN 46556 USA

[6] Univ Roma La Sapienza, Rome, Italy

[7] Univ Texas Austin, Austin, TX 78712 USA

关键词: Cluster algebras;    Greedy basis;    Theta functions;    Scattering diagrams;    Broken lines;   

DOI  :  10.1016/j.jcta.2016.08.004

来源: Elsevier

【 摘 要 】

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. Published by Elsevier Inc.

【 授权许可】

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