Kyungpook Mathematical Journal

  • 제60권2호
  • /
  • Pages.239-253
  • /
  • 2020
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  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On Alexander Polynomials of Pretzel Links

  • Bae, Yongju (Department of Mathematics, Kyungpook National University) ;
  • Lee, In Sook (Department of Mathematics, Kyungpook National University)
  • 투고 : 2020.02.28
  • 심사 : 2020.06.15
  • 발행 : 2020.06.30
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초록

In this paper, we will find a Seifert matrix for a class of pretzel links with a certain symmetry. Using the symmetry, we find formulae for the Alexander polynomials, determinants and signatures of the pretzel links.

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참고문헌

  1. Y. Bae and I. S. Lee, On Seifert matrices of symmetric links, Kyungpook Math. J., 51(3)(2011), 261-281. https://doi.org/10.5666/KMJ.2011.51.3.261
  2. Y. Bae and I. S. Lee, On Alexander polynomial of periodic links, J. Knot Theory Ramifications, 20(5)(2011), 749-761. https://doi.org/10.1142/S0218216511008942
  3. Y. Bae and I. S. Lee, Determinants formulae of Matrics with certain symmetry and its applications, Symmetry, 9(12)(2017), Art. No. 303, 22 pp. https://doi.org/10.3390/sym9020022
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  8. Y. Nakagawa, On the Alexander polynomials of pretzel links L($p_1$; . . . ;$p_n$), Kobe J. Math., 3(1987), 167-177.
  9. Y. Shinohara, On the signature of pretzel links, Topology and computer science (Atami, 1986), 217-224, Kinokuniya, Tokyo, 1987.