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Positivity for quantum cluster algebras from orbifolds
Published 5 Jun 2024 in math.RA, math.CO, math.QA, and math.RT | (2406.03362v1)
Abstract: Let $(S,M,U)$ be a marked orbifold with or without punctures and let $\mathcal A_v$ be a quantum cluster algebra from $(S,M,U)$ with arbitrary coefficients and quantization. We provide combinatorial formulas for quantum Laurent expansion of quantum cluster variables of $\mathcal A_v$ concerning an arbitrary quantum seed. Consequently, the positivity for the quantum cluster algebra $\mathcal A_v$ is proved.
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