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Abelian invariants of satellite knots

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Book cover Geometry and Topology

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

Supported in part by grants from the NSF.

non-peripheral and incompressible

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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.

    Article  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.

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

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Authors and Affiliations

  1. Indiana University, 47405, Bloomington, Indiana

    Charles Livingston

  2. Bryn Mawr College, 19010, Bryn Mawr, Pennsylvania

    Paul Melvin

Authors
  1. Charles Livingston
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  2. Paul Melvin
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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

  • eBook Packages: Springer Book Archive

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