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Roots of unity and the character variety of a knot complement

  • D. Cooper (a1) and D. D. Long (a1)

Abstract

Using elementary methods we give a new proof of a result concerning the special form of the character of the bounded peripheral element which arises at an end of a curve component of the character variety of a knot complement.

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Copyright

References

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[1]Bestvina, M., ‘Degenerations of the hyperbolic space’, Duke J. Math. 56 (1988), 142161.
[2]Cooper, D., ‘Degenerations of representations in SL(2,C)’, preprint.
[3]Culler, M., Cooper, D., Gillett, H., Long, D. D. and Shalen, P. B., ‘Plane curves associated to character varieties of knot complements’, preprint.
[4]Culler, M. and Morgan, J., ‘Group actions on R-trees’, Proc. London Math. Soc. 55 (1987), 571604.
[5]Culler, M. and Shalen, P. B., ‘Varieties of group representations and splittings of 3-manifolds’, Ann. of Math. 117 (1983), 109145.
[6]Hatcher, A. and Thurston, W. P., ‘Incompressible surfaces in two bridge knot complements’, Invent. Math. 79 (1985), 225246.
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Roots of unity and the character variety of a knot complement

  • D. Cooper (a1) and D. D. Long (a1)

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