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Original Articles

Observed Periodicity Related to the Four-Strand Burau Representation

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References

  • [Bigelow 99] S. Bigelow. “The Burau Representation is Not Faithful for n = 5.” Geom. Topol. 3 (1999), 397–404.
  • [Bigelow 02] S. Bigelow. “Does the Jones Polynomial Detect the Unknot?” J. Knot Theory Ramifications 11:4 (2002), 493–505. Knots 2000 Korea, Vol. 2 (Yongpyong).
  • [Birman 74] J. S. Birman. Braids, Links, and Mapping Class Groups. Annals of Mathematics Studies, No. 82. Princeton, N.J.: Princeton University Press; Tokyo: University of Tokyo Press, 1974.
  • [Farb and Margalit 12] B. Farb and D. Margalit. A Primer on Mapping Class Groups, volume 49 of Princeton Mathematical Series. Princeton, NJ: Princeton University Press, 2012.
  • [Ito 15] T. Ito. “A Kernel of a Braid Group Representation Yields a Knot with Trivial Knot Polynomials.” Math. Z. 280:1–2 (2015), 347–353.
  • [Long and Paton 93] D. D. Long and M. Paton. “The Burau Representation is Not Faithful for n ⩾ 6.” Topology 32:2 (1993), 439–447.
  • [Moody 91] J. A. Moody. “The Burau Representation of the Braid Group Bn is Unfaithful for Large n.” Bull. Am. Math. Soc. (N.S.) 25:2 (1991), 379–384.

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