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LOWER BOUNDS FOR THE NUMBER OF POSITIVE AND NEGATIVE CROSSINGS IN ORIENTED LINK DIAGRAMS

  • Lei, Fengchun (School of Mathematical Sciences Dalian University of Technology) ;
  • Zhang, Kai (School of Mathematical Sciences Dalian University of Technology)
  • Received : 2016.09.29
  • Accepted : 2017.05.23
  • Published : 2017.11.30

Abstract

In this paper, we obtain a simple lower bound for the number of positive (resp. negative) crossings in oriented link diagrams in terms of the maximal (resp. minimal) degree of the Jones polynomial.

Keywords

References

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