Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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DNA and the SU(3) Invariant of Knots and Links

  • Jeong, Myeong-Ju (Department of Mathematics and Computer Science, Korea Science Academy of KAIST) ;
  • Hong, Dae Gy (Department of Obstetrics and Gynecology, Kyungpook National University School of Medicine)
  • Received : 2012.05.10
  • Accepted : 2013.04.05
  • Published : 2013.09.23
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Abstract

To analyze the enzyme reaction on DNA knots and links, we study tangle embedding and the number of reaction. By using the quantum SU(3) invariant of knots and links we get a necessary condition for a tangle to be embedded in a knot or link. Moreover we give a relationship between the number of reactions and the changes of the value of quantum SU(3) invariant for the corresponding knots and links in a processive recombination.

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References

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