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Abelian invariants of satellite knots

Part of the Lecture Notes in Mathematics book series (LNM,volume 1167)

Keywords

  • Rational Coefficient
  • Solid Torus
  • Witt Invariant
  • Bryn Mawr
  • Alexander Polynomial

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References

  1. C. McA. Gordon, "Some aspects of classical knot theory", Knot Theory, Proc. Plans-sur-bex, Switzerland, 1977. Lecture Notes in Math. 685, Springer-Verlag (1978), 1–60.

    Google Scholar 

  2. C. Kearton, "The Milnor signatures of compound knots", Proc. Amer. Math. Soc. 76(1979), 157–160.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. R.A. Litherland, "Signatures of iterated torus knots", Topology of Low-Dimensional Manifolds, Proc. Second Sussex Conf., 1977. Lecture Notes in Math. 722, Springer-Verlag (1979), 71–84.

    Google Scholar 

  4. C. Livingston and P. Melvin, "Algebraic knots are algebraically dependent", Proc. Amer. Math. Soc. 87(1983), 179–180.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. J. Milnor, "Infinite cyclic coverings", Conf. on the Topology of Manifolds (Mich. St. Univ. 1967), Prindle, Weber and Schmidt, Boston, Mass. (1968), 115–133.

    Google Scholar 

  6. D. Rolfsen, Knots and Links, Publish or Perish, Inc. (1976).

    Google Scholar 

  7. H. Seifert, "On the homology invariants of knots", Quart. J. Math. Oxford 2(1950), 23–32.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Y. Shinohara, "On the signature of kntos and links", Trans. Amer. Math. Soc. 156(1971), 273–285.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. _____, "Higher dimensional knots in tubes", Trans. Amer. Math. Soc. 161(1971), 35–49.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. H.F. Trotter, "Homology of group systems with applications to knot theory", Ann. of Math. 76(1962), 464–498.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. _____, "On S-equivalence of Seifert matrices", Inventiones Math. 20(1973), 173–207.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. C. Weber, "Sur le module d'Alexander des noeuds satellites", to appear.

    Google Scholar 

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© 1985 Springer-Verlag

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Livingston, C., Melvin, P. (1985). Abelian invariants of satellite knots. In: Geometry and Topology. Lecture Notes in Mathematics, vol 1167. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075225

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  • DOI: https://doi.org/10.1007/BFb0075225

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16053-3

  • Online ISBN: 978-3-540-39738-0

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