Skip to main content
Log in

On Murasugi's and Traczyk's criteria for periodic links

  • 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.

Institutional subscriptions

References

  1. Anstee, R.P., Przytycki, J.H., Rolfsen, D.: Knot Polynomials and generalized mutation. Topology Appl. (to appear)

  2. Burde, G., Zieschang, H.: Knots. De Gruyter studies in Math. 5. Berlin New York: De Gruyter 1985

    Google Scholar 

  3. Freyd, P., Yetter, D., Hoste, J., Lickorish, W.B.R., Millet, K., Ocneanu, A.: A new polynomial invariant of knots and links. Bull. Am. Math. Soc.12, 239–249 (1985)

    Google Scholar 

  4. Hillman, J.A.: Symmetries of knots and links, and invariants of abelian coverings. Parts I and II. Kobe J. Math.3, 7–24 and 149–165 (1986)

    Google Scholar 

  5. Hoste, J., Kidwell, M.: Dichromatic link invariants. Trans. Am. Math. Soc. (to appear)

  6. Hoste, J., Przytycki, J.H.: An invariant of dichromatic links. Proc. Am. Math. Soc. (to appear)

  7. Jones, V.F.R.: Hecke algebra representations of braid groups and link polynomials. Ann. Math.126 (2), 335–388 (1987)

    Google Scholar 

  8. Kauffman, L.H.: An invariant of regular isotopy. Preprint 1985

  9. Lickorish, W.B.R.: The panorama of polynomials for knots, links, and skeins. Proceedings of the Santa Cruz conference on Artin's braid groups (1986) (to appear)

  10. Lickorish, W.B.R., Millett, K.C.: A polynomial invariant of oriented links. Topology26, 107–141 (1987)

    Google Scholar 

  11. Lickorish, W.B.R., Millet, K.C.: An evaluation of theF-polynomial of a link. Preprint 1987

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

    Google Scholar 

  13. Murasugi, K.: Jones polynomials of periodic links. Pac. J. Math.131, 319–329 (1988)

    Google Scholar 

  14. Perko, K.A.: Invariants of 11-crossing knots. Publ. Math. Orsay (1980)

  15. Przytycki, J.H.: Survey on recent invariants in classical knot theory. Warsaw University preprint 1986

  16. Przytycki, J.H.t k Moves on links. Proceedings of the Santa Cruz conference on Artin's braid groups (1986), to appear

  17. Przytycki, J.H.: Skein modules of 3-manifold. Preprint 1987

  18. Przytycki, J.H.: On Murasugi's and Traczyk's criteria for periodic links. An extended version of the short talk given at Honolulu (1987)

  19. Przytycki, J.H., Traczyk, P.: Invariants of links of Conway type. Kobe J. Math.4, 115–139 (1987)

    Google Scholar 

  20. Rolfsen, D.: Knots and links. Math. Lect. Series 7. Berkeley: Publish or Perish 1976

    Google Scholar 

  21. The Smith conjecture (J.W. Morgan, H. Bass). New York Academic Press 1984

    Google Scholar 

  22. Thistlethwaite, M.B.: Knots to 13-crossings. Math. Comp. (to appear)

  23. Thurston, W.: The geometry and topology of 3-manifolds. Mimeographed notes, 1977–1979

  24. Traczyk, P.: 10101 has no period 7: a criterion for periodic links. Proc. Am. Math. Soc. (to appear)

  25. Traczyk, P.: A criterion for knots of period 3. Preprint, 1988

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Przytycki, J.H. On Murasugi's and Traczyk's criteria for periodic links. Math. Ann. 283, 465–478 (1989). https://doi.org/10.1007/BF01442739

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01442739

Navigation