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On Seifert Matrices of Symmetric Links

이인숙|배용주
경북대학교 자연과학대학 수학과|2011.09|Kyungpook Mathematical Journal|제51권 제3호|pp. 261-281

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참고문헌

키워드

Alexander polynomialsymmetric linkperiodic linkSeifert matrixdeterminant of a linksignature of a link
주제분류수학

초록

In this paper, we will construct symmetric links by using the method adapted from the graph theory, and study a Seifert matrix of a symmetric link from the information of the Seifert matrix of the base link and the corresponding group action.

Abstract

In this paper, we will construct symmetric links by using the method adapted from the graph theory, and study a Seifert matrix of a symmetric link from the information of the Seifert matrix of the base link and the corresponding group action.

참고문헌 (14)

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  2. S. Garoufalidis, "Signatures of links and finite type invariants of cyclic branched covers", Conference: Rothenberg Festschrift, (1998), 통권 : 231, pp.87~97 (1999), Amer. Math. Soc., Providence
  3. J. L. Gross, "Topological graph theory" (1987), John Wiley & Sons
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  6. K. H. Ko, "Seifert matrices of periodic knots", JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 16(1), pp.45~57 (2007), WORLD SCIENTIFIC PUBL CO PTE LTD
  7. Sang Youl Lee, "The Seifert Matrices of Periodic Links with Rational Quotients", Kyungpook Mathematical Journal, 47(2), pp.295~309 (2007), 경북대학교 자연과학대학 수학과
  8. J. Levine, "The role of the Seifert matrix in knot theory, Actes du Congres International des Mathematiciens (Nice, 1970)", pp.95~98 (1971), Gauthier-Villars
  9. W. Lickorish, "An Introduction to Knot Theory" (1997), Springer-Verlag New York, Inc
  10. Yasuyuki Miyazawa, "Knots with a Trivial Coefficient Polynomial", Kyungpook Mathematical Journal, 49(4), pp.801~809 (2009), 경북대학교 자연과학대학 수학과
  11. K. Murasugi, "On the signature of links", Topology, 9, pp.283~298 (1970)
  12. H. Seifert, "Über das geschlecht von knoten", Math. Ann, 110 (1934)
  13. H. F. Trotter, "On S-equivalence of Seifert matrices", Invent. Math, 20, pp.173~207 (1973)
  14. A. White, "Graphs, Groups and Surfaces" (1984), Elsevier Science Publishers B.V

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