Geodesic
All roots of unity are detected by the A–polynomial
Chesebro, Eric1
1Department of Mathematics, The University of Texas at Austin, Austin TX 78712-0257, USA
Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 207-217
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For an arbitrary positive integer n, we construct infinitely many one-cusped hyperbolic 3–manifolds where each manifold’s A–polynomial detects every nth root of unity. This answers a question of Cooper, Culler, Gillet, Long, and Shalen as to which roots of unity arise in this manner.

DOI : 10.2140/agt.2005.5.207
Keywords: character variety, ideal point, A–polynomial

Chesebro, Eric  1

1 Department of Mathematics, The University of Texas at Austin, Austin TX 78712-0257, USA 
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Chesebro, Eric. All roots of unity are detected by the A–polynomial. Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 207-217. doi: 10.2140/agt.2005.5.207

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