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http://dx.doi.org/10.7858/eamj.2022.009

REPRESENTATIONS OF n-FOLD CYCLIC BRANCHED COVERINGS OF (1, 1)-KNOTS UP TO 10 CROSSINGS AS DUNWOODY MANIFOLDS  

Kim, Geunyoung (Department of Mathematics, Graduate School University of Georgia)
Lee, Sang Youl (Department of Mathematics, Pusan National University)
Publication Information
East Asian mathematical journal / v.38, no.1, 2022 , pp. 107-127 More about this Journal
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 S3 up to 10 crossings in Rolfsen's knot table as Dunwoody 3-manifolds.
Keywords
cyclic branched covering; (1, 1)-knot; (1, 1)-diagram; Dunwoody manifold; doubly-pointed Heegaard diagram;
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