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Definite hermitian forms and the cancellation of simple knots

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References

  1. E. Bayer, Factorisation is not unique for higher dimensional knots. Comment. Math. Helv.55, 583–592 (1980).

    Google Scholar 

  2. E.Bayer, Unimodular hermitian and skew-hermitian forms. J. Algebra (to appear).

  3. M. Eichler, Zur Theorie der Kristallgitter. Math. Ann.125. 51–55 (1952).

    Google Scholar 

  4. L. Gerstein, Classes of definite hermitian forms. Amer. J. Math.100, 81–97 (1978).

    Google Scholar 

  5. C. Kearton, Factorisation is not unique for 3-knots. Indiana Univ. Math. J.28, 451–452 (1979).

    Google Scholar 

  6. C. Kearton, Blanchfield duality and simple knots. Trans. Amer. Math. Soc.202, 141–160 (1975).

    Google Scholar 

  7. Y. Kitaoka, Scalar extension of quadratic lattices. Nagoya Math. J.66. 139–149 (1977).

    Google Scholar 

  8. M. Kneser, Zur Theorie der Kristallgitter. Math. Ann.127, 105–106 (1954).

    Google Scholar 

  9. J. Levine, An algebraic classification of some knots of codimension two. Comment. Math. Helv.45, 185–198 (1970).

    Google Scholar 

  10. J.Milnor and D.Husemoller, Symmetric bilinear forms. Berlin-Heidelberg-New York 1973.

  11. O. T.O'Meara, Introduction to quadratic forms. Berlin-Heidelberg-New York 1973.

  12. H. Schubert, Die eindeutige Zerlegbarkeit eines Knotens in Primknoten. S.-B. Heidelberger Akad. Wiss. Math.-Natur. Kl.1, 3, 57–104 (1949).

    Google Scholar 

  13. R. F. Smith, The construction of definite indecomposable hermitian forms. Amer. J. Math.100, 1021–1048 (1978).

    Google Scholar 

  14. H. F. Trotter, OnS-equivalence of Seifert matrices. Invent. math.20, 173–207 (1973).

    Google Scholar 

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  1. Eva Bayer

    Present address: Section de Mathématiques, Université de Genève, 2-4, rue du Lièvre, Case postale 124, CH-1211, Genève 24

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    1. Eva Bayer
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    Supported by the “Fonds National Suisse de la recherche scientifique”.

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    Bayer, E. Definite hermitian forms and the cancellation of simple knots. Arch. Math 40, 182–185 (1983). https://doi.org/10.1007/BF01192768

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