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All
roots of unity are detected by the A–polynomial
Eric Chesebro |
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Algebraic & Geometric Topology 5 (2005) 207–217
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arXiv: math.GT/0411205 |
Abstract |
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For an arbitrary positive integer , we construct infinitely many one-cusped hyperbolic 3–manifolds where each manifold’s A–polynomial detects every root of unity. This answers a question of Cooper, Culler, Gillet, Long, and Shalen as to which roots of unity arise in this manner. |
Keywords
character variety, ideal point, A–polynomial
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Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 57M50
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References |
Forward citations |
Publication
Received: 23 February 2005
Accepted: 6 March 2005
Published: 28 March 2005
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Authors |
| Eric Chesebro | |
| Department of Mathematics The University of Texas at Austin Austin TX 78712-0257 USA |
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| http://www.ma.utexas.edu/users/chesebro/ | |
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