Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds

Details Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds

1998-01-13

arxiv.org/abs/math/9801064v2

Topology, Vol 38, No. 2, pp 457-465, 1999

Mathematics

Geometric Topology

12 pages, 1 figure, LaTeX2e. Minor changes, additional remarks, new description of 2nd example. To appear in_Topology_

Scientific paper

This paper gives examples of hyperbolic 3-manifolds whose SL(2,C) character
varieties have ideal points whose associated roots of unity are not 1 or -1.
This answers a question of Cooper, Culler, Gillet, Long, and Shalen as to
whether roots of unity other than 1 and -1 occur.

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