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**1 - 5**of**5**### All Roots of Unity are Detected by the A–polynomial

, 2008

"... For an arbitrary positive integer n, we construct infinitely many onecusped hyperbolic 3–manifolds where each manifold’s A–polynomial detects every n th root of unity. This answers a question of Cooper, Culler, Gillet, Long, and Shalen as to which roots of unity arise in this manner. 1 ..."

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For an arbitrary positive integer n, we construct infinitely many onecusped hyperbolic 3–manifolds where each manifold’s A–polynomial detects every n th root of unity. This answers a question of Cooper, Culler, Gillet, Long, and Shalen as to which roots of unity arise in this manner. 1

### Algebraic & Geometric Topology

"... All roots of unity are detected by the A–polynomial ..."

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"... certifies that this is the approved version of the following dissertation: Undetected boundary slopes and roots of unity for the character variety of a 3-manifold Committee: ..."

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certifies that this is the approved version of the following dissertation: Undetected boundary slopes and roots of unity for the character variety of a 3-manifold Committee: