English

The greedy basis equals the theta basis

Quantum Algebra 2018-06-06 v2 Algebraic Geometry Combinatorics

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.

Cite

@article{arxiv.1508.01404,
  title  = {The greedy basis equals the theta basis},
  author = {Man Wai Cheung and Mark Gross and Greg Muller and Gregg Musiker and Dylan Rupel and Salvatore Stella and Harold Williams},
  journal= {arXiv preprint arXiv:1508.01404},
  year   = {2018}
}

Comments

17 pages

R2 v1 2026-06-22T10:27:52.105Z