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- W4308482029 abstract "We continue the work started in parts (I) and (II). In this part we classify which continuous type A quivers are derived equivalent and introduce the new continuous cluster category with E-clusters, which are a generalization of clusters. In the middle we provide a rigorous connection between the previous construction of the continuous cluster category and the new construction. We conclude with the introduction of a cluster theory, generalizing the notion of a cluster structure. Using this new notion, we demonstrate how one embeds known type A cluster theories into the new E-cluster theory in a way compatible with mutation. This is part (III) in a series of work that will conclude with a continuous generalization of mutation for cluster theories." @default.
- W4308482029 created "2022-11-12" @default.
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- W4308482029 date "2020-04-22" @default.
- W4308482029 modified "2023-10-18" @default.
- W4308482029 title "Continuous Quivers of Type A (III) Embeddings of Cluster Theories" @default.
- W4308482029 doi "https://doi.org/10.48550/arxiv.2004.10740" @default.
- W4308482029 hasPublicationYear "2020" @default.
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