Skip to main content
Log in

SU(2)-representation spaces for two-bridge knot groups

  • 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. Akbulut, S., McCarthy, J.: Casson's invariant for homology 2-spheres — an exposition. Preprint 1986

  2. Boyer, S., Nicas, A.: Varieties of group representations and Casson's invariant for rational homology 3-spheres. Preprint 1986

  3. Blaschke, W.: Kinematik und Quaternionen. Berlin: Deutscher Verlag der Wissenschaften 1960

    Google Scholar 

  4. Burde, G.: Darstellung von Knotengruppen. Math. Ann.73, 24–33 (1967)

    Google Scholar 

  5. Burde, G.: Verschlingsinvariante von Knoten und Verkettungen mit zwei Brücken. Math. Z.145, 235–242 (1975)

    Google Scholar 

  6. Burde, G., Zieschang, H.: Knots. Studies in Mathematics 5. Berlin New York: de Gruyter 1985

    Google Scholar 

  7. Conway, J.: An enumeration of knots and links and some of their related properties. Computational problems in abstract algebra, pp. 329–358. New York: Pergamon Press 1970

    Google Scholar 

  8. Klassen, E.: Representation of knots groups inSU(2). Dissertation, Cornell University, 1987

  9. Levine, J.J.: Knot cobordism groups in codimension 2. Comment. Math. Helv.44, 229–244 (1969)

    Google Scholar 

  10. Murasugi, K.: On periodic knots. Comment. Math. Helv.46, 162–174 (1971)

    Google Scholar 

  11. De Rham, G.: Introduction aux polynomes d'un noeud. Enseign. Math., II. Sér.5, 263–266 (1972)

    Google Scholar 

  12. Riley, R.: A finiteness theorem for alternating links. J. Lond. Math. Soc., II. Ser.24, 217–242 (1972)

    Google Scholar 

  13. Riley, R.: Nonabelian representations of 2-bridge knot groups. Q. J. Math. Oxf., II. Ser.35, 191–208 (1984)

    Google Scholar 

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

    Google Scholar 

  15. Siebenman, L.: Exercises sur les noeuds rationnels. Polycopie, Orsay, 1975

    Google Scholar 

  16. Takahashi, M.: Two-bridge knots have property P. Mem. Am. Math. Soc.29, No. 239 (1981)

    Google Scholar 

  17. Walker, R.J.: Algebraic curves. New York: Dover 1962

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was done partly in 1986 when I was a guest of the Department of Mathematics at the University of Toronto, and partly during the spring term 1987 while being a visiting professor

Rights and permissions

Reprints and permissions

About this article

Cite this article

Burde, G. SU(2)-representation spaces for two-bridge knot groups. Math. Ann. 288, 103–119 (1990). https://doi.org/10.1007/BF01444524

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01444524

Keywords

Navigation