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- W4280497526 abstract "The paper applies the JSJ decomposition and Koda-Ozawa's annulus classification to analyze the annulus configuration in a handlebody-knot exterior. We introduce the notion of the annulus diagram, to pack the configuration into a labeled graph, and classify genus two handlebody-knots in terms of their annulus diagrams. Applications to handlebody-knot symmetries are discussed; methods to produce handlebody-knots with various types of annulus diagrams are also presented." @default.
- W4280497526 created "2022-05-22" @default.
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- W4280497526 date "2022-05-07" @default.
- W4280497526 modified "2023-10-14" @default.
- W4280497526 title "JSJ decomposition for handlebody-knots" @default.
- W4280497526 doi "https://doi.org/10.48550/arxiv.2205.03547" @default.
- W4280497526 hasPublicationYear "2022" @default.
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