The greedy basis equals the theta basis: A rank two haiku
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Peer-reviewed
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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.
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Keywords
Cluster algebras, Greedy basis, Theta functions, Scattering diagrams, Broken lines
Journal Title
Journal of Combinatorial Theory. Series A
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Journal ISSN
0097-3165
1096-0899
1096-0899
Volume Title
145
Publisher
Elsevier BV
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Sponsorship
National Science Foundation