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A linking invariant of classical link concordance

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Knot Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 685))

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References

  1. Cappell, S. and Shaneson, J., "Invariants of 3-Manifolds", Bull. Amer. Math. Soc., 81 (1975), 559–562.

    Article  MathSciNet  MATH  Google Scholar 

  2. Casson, A.J., "Link Cobordism and Milnor's Invariant", Bull. London Math. Soc., 7 (1975), 39–40.

    Article  MathSciNet  MATH  Google Scholar 

  3. Casson, A.J. and Gordon, Cameron Mc.A., "Classical Knot Cobordism", Lectures given in Jan.–Feb. 1975 at Orsay, France.

    Google Scholar 

  4. Chen, K.T., Fox, R.H., and Lyndon, R.C., "Free Differential Calculus, IV. The Quotient Groups of the Lower Central Series", Annals of Mathematics, 68 (1958), 81–95.

    Article  MathSciNet  MATH  Google Scholar 

  5. Durfee, Alan and Kauffman, L.H., "Periodicity of Branched Cyclic Covers", Math. Ann., 218 (1975) 157–174.

    Article  MathSciNet  MATH  Google Scholar 

  6. Fox, R.H., "Covering Spaces with Singularities", Algebraic Geometry and Topology (a symposium in Honor of S. Lefschetz), 243–257 (Princeton, 1957).

    Google Scholar 

  7. Giffen, Charles, "Link Concordance Implies Link Homotopy", to appear.

    Google Scholar 

  8. Goldsmith, Deborah L., "Concordance Implies Homotopy for Classical Links in M3", to appear.

    Google Scholar 

  9. _____, "A Signature Invariant of Classical Link Concordance", to appear.

    Google Scholar 

  10. Gonzalez-Acuna, F., "Dehn's Construction on Knots", Bol. Soc. Mat. Mexicana, 15, No. 2 (1970) 58–79.

    MathSciNet  MATH  Google Scholar 

  11. Greenberg, M., "Lectures on Algebraic Topology", W.A. Benjamin, Inc., New York, 1967.

    MATH  Google Scholar 

  12. Hirzebruch, F., "The Signature of Ramified Coverings", Global Analysis Papers in honor of K. Kadaira, University of Tokyo Press, Princeton University Press, 1969, 253–265.

    Google Scholar 

  13. Kauffman, L.H., "Open Books, Branched Covers and Knot Periodicity", Topology, 13 (1974), 143–160.

    Article  MathSciNet  MATH  Google Scholar 

  14. Kauffman, L.H. and Taylor, L., "Signature of Links", Trans. Amer. Math. Soc., 216 (1976), 351–365.

    Article  MathSciNet  MATH  Google Scholar 

  15. Laufer, Henry B., "Some Numerical Link Invariants", Topology, 10 (1971), 119–131.

    Article  MathSciNet  MATH  Google Scholar 

  16. Levine, J., "An Algebraic Classification of some Knots of Codimension Two", Comm. Math. Hel., 45 (1970), 185–198.

    Article  MathSciNet  MATH  Google Scholar 

  17. Milnor, J., "Infinite Cyclic Coverings", Conference on the Topology of Manifolds at Michigan State University, 1967, edited by J.G. Hocking; Boston, Prindle, Weber & Schmidt (1968).

    Google Scholar 

  18. _____, "Link Groups", Ann. of Math., 59 (1954), 177–195.

    Article  MathSciNet  MATH  Google Scholar 

  19. _____, "Isotopy of Links", Algebraic Geometry and Topology (a symposium in honor of S. Lefschetz), 280–306 (Princeton, 1957).

    Google Scholar 

  20. Murasugi, K., "On a Certain Numerical Invariant of Link Types", Trans. Amer. Math. Soc., 117 (1965), 387–422.

    Article  MathSciNet  MATH  Google Scholar 

  21. Robertello, R.A., "An Invariant of Knot Cobordisms", Comm. Pure Appl. Math., (1965), 115.

    Google Scholar 

  22. Stallings, John, "Homology and Central Series of Groups", Journal of Algebra, 2 (1965), 170–181.

    Article  MathSciNet  MATH  Google Scholar 

  23. Tristram, A.G., "Some Cobordism Invariants for Links", Proc. Camb. Phil. Soc., 66 (1969), 251–264.

    Article  MathSciNet  MATH  Google Scholar 

  24. Problems in Low Dimensional Manifold Theory, Stanford conference in algebraic topology (Aug. 1976), edited by R. Kirby.

    Google Scholar 

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Author information

Authors and Affiliations

  1. University of Michigan, 48109, Ann Arbor, Michigan

    Deborah L. Goldsmith

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  1. Deborah L. Goldsmith
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Jean-Claude Hausmann

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© 1978 Springer-Verlag

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Goldsmith, D.L. (1978). A linking invariant of classical link concordance. In: Hausmann, JC. (eds) Knot Theory. Lecture Notes in Mathematics, vol 685. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062970

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  • DOI: https://doi.org/10.1007/BFb0062970

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08952-0

  • Online ISBN: 978-3-540-35705-6

  • eBook Packages: Springer Book Archive

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