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- W4387559441 abstract "We introduce a notion of motivic cluster characters via virtual Poincar'{e} polynomials, and prove a motivic version of multiplication formulas obtained by Chen-Xiao-Xu for weighted quantum cluster characters associated to a 2-Calabi-Yau triangulated category $mathcal{C}$ with a cluster tilting object. Furthermore, a refined form of this formula is also given. When $mathcal{C}$ is the cluster category of an acyclic quiver, our certain refined multiplication formula is a motivic version of the multiplication formula in [International Mathematics Research Notices, rnad172(2023)]." @default.
- W4387559441 created "2023-10-12" @default.
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- W4387559441 date "2023-10-07" @default.
- W4387559441 modified "2023-10-18" @default.
- W4387559441 title "Motivic cluster multiplication formulas in 2-Calabi-Yau categories" @default.
- W4387559441 doi "https://doi.org/10.48550/arxiv.2310.04849" @default.
- W4387559441 hasPublicationYear "2023" @default.
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