• Title/Summary/Keyword: doubly-pointed Heegaard diagram

Search Result 1, Processing Time 0.014 seconds

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

  • Kim, Geunyoung;Lee, Sang Youl
    • East Asian mathematical journal
    • /
    • v.38 no.1
    • /
    • pp.107-127
    • /
    • 2022
  • 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.