Skip to main content
Log in

Finite knot modules and the factorization of certain simple knots

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Atiyah, M., MacDonald, I.G.: Introduction to commutative algebra. Reading, Menlo Park, London, Don Mills: Addison-Wesley 1969

    Google Scholar 

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

    Google Scholar 

  3. Farber, M.S.: Duality in an infinite cyclic covering and even-dimensional knots. Math. U.S.S.R. Izv.11, 749–781 (1977)

    Google Scholar 

  4. Hirzebruch, F., Neumann, W.D., Koh, S.S.: Differentiable manifolds and quadratic forms. New York: Dekker 1971

    Google Scholar 

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

    Google Scholar 

  6. Kojima, S.: Classification of simple knots by Levine pairings. Comment. Math. Helv.54, 356–367 (1979). Erratum: Comment. Math. Helv.55, 652–653 (1980)

    Google Scholar 

  7. Levine, J.: Knot modules I. Trans. Am. Math. Soc.229, 1–50 (1977)

    Google Scholar 

  8. Levine, J.: Some results on higher dimensional knot groups. In: Knot theory. Plans-sur-Bex 1977. Lecture Notes in Mathematics, Vol. 685, pp. 243–269. Berlin, Heidelberg, New York: Springer 1978

    Google Scholar 

  9. Levine, J.: Algebraic structure of knot modules. Lecture Notes in Mathematics, Vol. 772. Berlin, Heidelberg, New York: Springer 1980

    Google Scholar 

  10. Serre, J.-P.: Algèbre, locale-multiplicités. Lecture Notes in Mathematics, Vol. 11. Berlin, Heidelberg, New York: Springer 1965

    Google Scholar 

  11. Serre, J.-P.: Corps locaux. Paris: Hermann 1968

    Google Scholar 

  12. Stoltzfus, N.: Algebraic, computations of the integral concordance and double null concordance group of knots. In: Knot theory, ed. J.-C. Hausmann. Lecture Notes in Mathematics, Vol. 658, pp. 274–290. Berlin, Heidelberg, New York: Springer 1980

    Google Scholar 

  13. Wall, C.T.C.: Quadratic forms on finite groups, and related topics. Topology2, 281–298 (1963)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hillman, J.A. Finite knot modules and the factorization of certain simple knots. Math. Ann. 257, 261–274 (1981). https://doi.org/10.1007/BF01458289

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458289

Navigation