Skip to main content

Knots and stable homotopy

  • Algebraic Topology
  • Conference paper
  • First Online:
Topology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1060))

  • 1267 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Erle D., Die quadratische Form eines Knotens und ein Satz über knotenmannigfaltigkeiten. J. reine angew. Math., 29B (1969), 174–218.

    MathSciNet  MATH  Google Scholar 

  2. Farber M.Š., Linking coefficients and two-dimensional knots, Dokl. Akad. Nauk SSSR 222 (1975), 299–301, Engl. transl.: Soviet Math. Dokl. 16 (1975), 647–650.

    MathSciNet  MATH  Google Scholar 

  3. Farber M.Š., Duality in an infinite cyclic covering and evendimensional knots, Izv. Akad. Nauk SSSR, ser mat. 41 (1977), 794–828, Engl. transl.: Math. USSR Izvestija 11 (1977), 749–781.

    MathSciNet  Google Scholar 

  4. Farber M.Š., Isotopy types of knots of codimension two, Trans. Amer.Math.Soc., 261 (1980), 185–209.

    Article  MathSciNet  MATH  Google Scholar 

  5. Farber M.Š., Presentations for knot modules, Izv.Akad.Nauk Azerb. SSR, ser. fiz-teh.mat.nauk, 1981, N 2, 105–111 (Russian).

    Google Scholar 

  6. Farber M.Š., Functors in the category of knot modules, Izv. Akad.Nauk Azerb.SSR, ser.fiz-teh.mat.nauk, 1981, N 3, 94–100 (Russian).

    Google Scholar 

  7. Farber M.Š., A classification of stable fibred knots, Matem. Sbornik, 115 (1981), 223–262 (Russian).

    MathSciNet  MATH  Google Scholar 

  8. Farber M.Š., A stable classification of spherical knots, Bull. of the Academy of Sciences of the Georgian SSR, 104 (1981), N 2, 285–288 (Russian).

    MathSciNet  MATH  Google Scholar 

  9. Freyd P., Stable homotopy, Proceedings of the Conference on Categorical Algebra, La Jolla, 1965, Springer-Verlag, Berlin, 1966, 121–172.

    MATH  Google Scholar 

  10. Kervaire M.A., Knot cobordism in codimension two. Lecture Notes in Math., v.197, 1970, 83–105.

    Article  MathSciNet  Google Scholar 

  11. Levine J., Unknotting spheres in codimension two, Topology, 4 (1965), 9–16.

    Article  MathSciNet  MATH  Google Scholar 

  12. Levine J., Polynomial invariants of knots of codimension two, Ann.Math., 84 (1966), 537–554.

    Article  MathSciNet  MATH  Google Scholar 

  13. Levine J., An algebraic classification of some knots of codimension two, Comment.math.helv., 45 (1970), 185–198.

    Article  MathSciNet  MATH  Google Scholar 

  14. Levine J., Knot modules, Ann.Math.Studies, Princeton Univ.Press, 1975, 24–34.

    Google Scholar 

  15. Levine J., Knot modules. I, Trans.Amer.Math.Soc., 229 (1977), 1–50.

    Article  MathSciNet  MATH  Google Scholar 

  16. Milnor J., Infinite cyclic coverings, Conference on the Topology of manifolds, Boston, 1968, 115–133.

    Google Scholar 

  17. Seifert H., Über das Gaschlecht von Knoten.Math.Ann., 110 (1934), 571–592.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Ludwig D. Faddeev Arkadii A. Mal’cev

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Farber, M. (1984). Knots and stable homotopy. In: Faddeev, L.D., Mal’cev, A.A. (eds) Topology. Lecture Notes in Mathematics, vol 1060. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099930

Download citation

  • DOI: https://doi.org/10.1007/BFb0099930

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13337-7

  • Online ISBN: 978-3-540-38863-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics