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arXiv · 2110.12429

The Multiplication Formulas of Weighted Quantum Cluster Functions

Zhimin Chen·Jie Xiao·Fan Xu
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Abstract

By applying the property of Ext-symmetry and the affine space structure of certain fibers, we introduce the notion of weighted quantum cluster functions and prove their multiplication formulas associated to abelian categories with Ext-symmetry and 2-Calabi-Yau triangulated categories with cluster-tilting objects.

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Zhimin Chen, Jie Xiao, Fan Xu. 2021-10-24. The Multiplication Formulas of Weighted Quantum Cluster Functions. https://doi.org/10.3842/sigma.2023.097

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