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Periodic knots and the skein polynomial

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References

  • [B-Z] Burde, G., Zieschang, H.: Knots. Berlin New York: Walter de Gruyter 1985

    Google Scholar 

  • [F-M] Frank, J., Williams, R.F.: Braids and the Jones polynomial. Trans. Am. Math. Soc.303, 97–108 (1987)

    Google Scholar 

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

    Google Scholar 

  • [L-M] Lickorish, W.B.R., Millett, K.C.: A polynomial, invariant of oriented links. Topology26, 107–141 (1987)

    Google Scholar 

  • [K-S] Kodama, K., Sakuma, M.: Symmetry groups of prime knots up to 10 crossings. (to appear)

  • [M] Morton, H.R.: Seifert circles and knot polynomials. Math. Proc. Camb. Philos. Soc.99, 107–109 (1986)

    Google Scholar 

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

    Google Scholar 

  • [P] Przytycki, J.: On Murasugi's and Traczyk's criteria for periodic links. Math. Ann.283, 465–478 (1989)

    Google Scholar 

  • [R] Rolfsen, D.: Knots and links. Berkeley: Publish or Perish Inc. 1976

    Google Scholar 

  • [T1] Traczyk, P.: 10101 has no period 7: a criterion for periodic links. Proc. Am. Math. Soc. (to appear)

  • [T2] Traczyk, P.: A criterion for knots of period 3. Topology Appl. (to appear)

  • [Y] Yokota, Y.: The Jones polynomial of periodic knots. (to appear)

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This research was supported by NSERC-No. A4034 (Canada) and Polish scientific grant RP 1.10.

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Traczyk, P. Periodic knots and the skein polynomial. Invent Math 106, 73–84 (1991). https://doi.org/10.1007/BF01243905

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  • DOI: https://doi.org/10.1007/BF01243905

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