Skip to main content
SpringerLink
Log in

On the signature of a link

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Alexander, J.W., Briggs, G.B.: On types of knotted curves. Ann. of Math.(2)28, 562–586 (1926/27)

    Google Scholar 

  2. Atiyah, M.F., Singer, I.M.: The index of elliptic operators III. Ann. of Math. (2)87, 546–604 (1968)

    Google Scholar 

  3. Conway, J.H.: An enumeration of knots and links, and some of their algebraic properties. Computational Problems in Abstract Algebra, pp. 329–358. Oxford and New York: Pergamon Press 1969

    Google Scholar 

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

    Google Scholar 

  5. González-Acuña, F.: On homology spheres. Thesis, Princeton University 1969

  6. Jänich, K., Ossa, E.: On the signature of an involution. Topology8, 27–30 (1969)

    Google Scholar 

  7. Kauffman, L.: Cyclic branched covers,O(n)-actions, and hypersurface singularities. Thesis, Princeton University 1972

  8. Kauffman, L., Taylor, L.: Signature of links. Trans. Amer. Math. Soc.216, 351–365 (1976)

    Google Scholar 

  9. Kearton, C., Lickorish, W.B.R.: Piecewise Linear critical levels and collapsing. Trans. Amer. Math. Soc.170, 415–424 (1972)

    Google Scholar 

  10. Kneser, M., Puppe, D.: Quadratische Formen und Verschlingungsinvarianten von Knoten. Math. Z.58, 376–384 (1953)

    Google Scholar 

  11. Kyle, R.H.: Branched covering spaces and the quadratic forms of links. Ann. of Math. (2)59, 539–548 (1954)

    Google Scholar 

  12. Litherland, R.A.: Signatures of iterated torus knots. To appear in the Proceedings of the 1977 Sussex Geometric Topology Conference

  13. Murasugi, K.: On the signature of links. Topology9, 283–298 (1970)

    Google Scholar 

  14. Murasugi, K.: On a certain numerical invariant of link types. Trans. Amer. Math. Soc.117, 387–422 (1965)

    Google Scholar 

  15. Reidemeister, K.: Elementare Begründung der Knotentheorie. Abh. Math. Sem. Univ. Hamburg5, 24–32 (1927)

    Google Scholar 

  16. Rice, P.M.: Equivalence of Alexander matrices. Math. Ann.193, 65–75 (1971)

    Google Scholar 

  17. Seifert, H.: Die Verschlingungsinvarianten der zyklischen Knotenüberlagerungen. Abh. Math. Sem. Univ. Hamburg11, 84–101 (1935)

    Google Scholar 

  18. Shinohara, Y.: On the signature of knots and links. Trans. Amer. Math. Soc.156, 273–285 (1971)

    Google Scholar 

  19. Shinohara, Y.: On the signature of knots and links. Dissertation, Tallahassee: Florida State University 1969

    Google Scholar 

  20. Trotter, H.F.: Homology of group systems with applications to knot theory. Ann. of Math. (2)76, 464–498 (1962)

    Google Scholar 

  21. Whitney, H.: On the topology of differentiable manifolds. Lectures in topology, the University of Michigan conference of 1940, (R.L. Wilder and W.L. Ayres, ed.). Ann Arbor: The University of Michigan press 1941

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The University of Texas, 78712, Austin, Texas, USA

    C. Mc Gordon & R. A. Litherland

Authors
  1. C. Mc Gordon
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. A. Litherland
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gordon, C.M., Litherland, R.A. On the signature of a link. Invent Math 47, 53–69 (1978). https://doi.org/10.1007/BF01609479

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01609479

Search

Navigation