Positivity for quantum cluster algebras from unpunctured orbifolds

Abstract

We give the quantum Laurent expansion formula for the quantum cluster algebras from unpunctured orbifolds with arbitrary coefficients and quantization. As an application, positivity for such class of quantum cluster algebras is given. For technical reasons, it will always be assumed that the weights of the orbifold points are 2.

43 pages. arXiv admin note: substantial text overlap with arXiv:1807.06910