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Polynomials of amphicheiral knots

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References

  1. Blanchfield, R.C.: Intersection theory of manifolds with operators with applications to knot theory. Ann. of Math.65, 340–356 (1957)

    Google Scholar 

  2. Borel, A.: Seminar on transformation groups. Ann. of Math. Studies 46, Princeton University Press 1960

  3. Buskirk, J.M. Van: Kawauchi's conjecture for strongly amphicheiral knots. Notices Amer. Math. Soc.177, A-351 (1977)

  4. Buskirk, J.M. Van: A class of — amphicheiral knots and their Alexander polynomials. Mimeographed Notes, Aarhus Universitet, 1977

  5. Conway, J.H.: An enumeration of knots and links, and some of their algebraic properties. Computational problems in abstract algebra, pp. 329–358. Pergamon Press 1970

  6. Goeritz, L.: Knoten und quadratische Formen. Math. Z.36, 647–654 (1933)

    Google Scholar 

  7. Kawauchi, A.: Three dimensional homology handles and circles. Osaka J. Math.12, 565–581 (1976)

    Google Scholar 

  8. Kawauchi, A.:\(\tilde H\)-cobordism, I; The group among three dimensional homology handles, Osaka J. Math.13, 567–590 (1976)

    Google Scholar 

  9. Kawauchi, A.: On quadratic forms of 3-manifolds. Invent. Math.43, 177–198 (1977)

    Google Scholar 

  10. Kirby, R.: Problems in low dimensional manifold theory. Proc. AMS Summer Institute in Topology, Stanford, 1976

  11. Levine, J.: A characterization of knot polynomials. Topology4, 135–141 (1965)

    Google Scholar 

  12. Mayland, E. J., Jr., Murasugi, K.: Problems in knots and 3-manifolds. Notices Amer. Math. Soc.173, 410–411 (1977)

    Google Scholar 

  13. Milnor, J.W.: On isometries of inner product spaces. Invent. Math.8, 83–97 (1969)

    Google Scholar 

  14. Rolfson, D.: Knots and links. Mathematics Lecture Series 7, Publish or Perish Inc. 1976

  15. Schubert, H.: Knoten mit zwei Brücken. Math. Z.65, 133–170 (1956)

    Google Scholar 

  16. Trotter, H.: Non-invertible knots exist. Topology2, 275–280 (1963)

    Google Scholar 

  17. Vinogradov, I.M.: An introduction to the theory of numbers. Oxford, New York: Pergamon 1955

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Columbia University, 10027, New York, NY, USA

    Richard Hartley

  2. The Institute for Advanced Study, 08540, Princeton, NJ, USA

    Akio Kawauchi

Authors
  1. Richard Hartley
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  2. Akio Kawauchi
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Supported in part by a National Science and Engineering Research Council of Canada grant

Supported in part by a National Science Foundation grant

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Hartley, R., Kawauchi, A. Polynomials of amphicheiral knots. Math. Ann. 243, 63–70 (1979). https://doi.org/10.1007/BF01420207

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