| Abstract: |
| By applying the property of Ext-symmetry and the vector bundle structures of certain fibres, we introduce the notion of weight function and prove the multiplication formulas for weighted quantum cluster characters ( functions ) associated to abelian categories with the property of Ext-symmetry and 2-Calabi-Yau triangulated categories with cluster-tilting objects. This is joint work with Zhimin Chen, Fan Xu and Fang Yang. |
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