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The Seifert Matrices of Periodic Links with Rational Quotients

이상율|서명수|Maeng-Sang Park
경북대학교 자연과학대학 수학과|2007.06|Kyungpook Mathematical Journal|제47권 제2호|pp. 295-309

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Abstract

In this paper, we characterize the Seifert matrices of p-periodic links whose quotients are 2-bridge linksC(2,n1,2,n2,· ,nr,(2)r) and give formulas for the sig-natures and determinants of the 3-periodic links of these kind in terms ofn1,n2,· ,nr.

참고문헌 (14)

  1. "An enumeration of knots and links and some of their algebraic prop-erties Computational Problems in Abstract Algebra", pp.329~358 (1970), Pergamon Press
  2. "On the signature of a link", pp.53~69 (1978)
  3. "On the orem of Murasugi", pp.69~74 (1979)
  4. "Signatures of covering links", pp.381~394 (1981)
  5. "On the character varietyof periodic knots and links", 129, pp.477~490 (2000)
  6. "Casson knot invariants of periodic knots withrational quotients", 16, pp.439~460 (2007)
  7. "Zn -equivalant Goeritz matrices of periodic links", 40, pp.393~408 (2003)
  8. "On the modified Goeritz matrices of 2-periodic links", 35, pp.529~537 (1998)
  9. "Recurrence formulas for the Alexander polynomials of 2-bridge links and their covering links", 15, pp.179~203 (2006)
  10. "Casson knot invariants of periodic knot with rational quotients II"
  11. "On the signature of links", pp.283~298 (1970)
  12. "Knot theory and its application" (1996), Birkhauser
  13. "Knoten mit zwei Br¨ucken", pp.133~170 (1956)
  14. "¨ Uber das Geschlecht von Knoten", pp.571~592 (1934), H. Seifert

관련 논문AI추천

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