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2017 Character varieties, $A$–polynomials and the AJ conjecture
Thang Lê, Xingru Zhang
Algebr. Geom. Topol. 17(1): 157-188 (2017). DOI: 10.2140/agt.2017.17.157

Abstract

We establish some facts about the behavior of the rational-geometric subvariety of the SL2() or PSL2() character variety of a hyperbolic knot manifold under the restriction map to the SL2() or PSL2() character variety of the boundary torus, and use the results to get some properties about the A–polynomials and to prove the AJ conjecture for a certain class of knots in S3 including in particular any 2–bridge knot over which the double branched cover of S3 is a lens space of prime order.

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Thang Lê. Xingru Zhang. "Character varieties, $A$–polynomials and the AJ conjecture." Algebr. Geom. Topol. 17 (1) 157 - 188, 2017. https://doi.org/10.2140/agt.2017.17.157

Information

Received: 25 September 2015; Revised: 13 March 2016; Accepted: 15 June 2016; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1359.57007
MathSciNet: MR3604376
Digital Object Identifier: 10.2140/agt.2017.17.157

Subjects:
Primary: 57M25

Rights: Copyright © 2017 Mathematical Sciences Publishers

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