2 papers
math.RT2026
A module-theoretic interpretation of quantum expansion formula
Yutong Yu
We provide a module-theoretic interpretation of the expansion formula given by Huang (2022), which defines a map on perfect matchings to compute the expansion of quantum cluster va…
math.RT2026
Quantum cluster variables via canonical submodules
Fan Xu, Yutong Yu
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 t…