Quantum cluster variables via canonical submodules
Representation Theory
2026-04-07 v3
Abstract
We study quantum cluster algebras from marked surfaces without punctures. We express the quantum cluster variables in terms of the canonical submodules. As a byproduct, we obtain the positivity for this class of quantum cluster algebra.
Cite
@article{arxiv.2412.11628,
title = {Quantum cluster variables via canonical submodules},
author = {Fan Xu and Yutong Yu},
journal= {arXiv preprint arXiv:2412.11628},
year = {2026}
}