Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Minimal Unknotting Crossing Data for Closed Toric Braids

  • Siwach, Vikash (Department of Mathematics, Indian Institute of Technology Ropar) ;
  • Prabhakar, Madeti (Department of Mathematics, Indian Institute of Technology Ropar)
  • Received : 2015.05.05
  • Accepted : 2016.10.21
  • Published : 2017.06.23
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Abstract

Unknotting numbers for torus knots and links are well known. In this paper, we present a new approach to determine the position of unknotting number crossing changes in a toric braid such that the closure of the resultant braid is equivalent to the trivial knot or link. Further we give unknotting numbers of more than 600 knots.

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References

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