Representations of $n$-fold Cyclic Branched Coverings of $(1,1)$-knots up to 10 Crossings as Dunwoody Manifolds

다국어 초록 (Multilingual Abstract)

In this paper, we discuss the relationship between doubly-pointed Heegaard diagrams of $(1,1)$-knots in lens spaces and Dunwoody $3$-manifolds, and then give explicit representations of $n$-fold cyclic branched coverings of all $(1,1)$-knots in $S^3$ up to 10 crossings in Rolfsen's knot table as Dunwoody $3$-manifolds.

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