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The Youngnam Mathematical Society (영남수학회)
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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)
  • Received : 2021.10.14
  • Accepted : 2022.01.20
  • Published : 2022.01.31
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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

Acknowledgement

This work was supported by a 2-Year Research Grant of Pusan National University.

References

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