JSJ decomposition for handlebody-knots (2205.03547v2)

Published 7 May 2022 in math.GT

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.

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Authors (1)

Yi-Sheng Wang

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