Communications in Analysis and Geometry

Volume 15 (2007)

Number 4

Not all boundary slopes are strongly detected by the character variety

Pages: 695 – 723

DOI: https://dx.doi.org/10.4310/CAG.2007.v15.n4.a2

Authors

Eric Chesebro

Stephan Tillmann

Abstract

It has been an open question whether all boundary slopes of hyperbolic knots are strongly detected by the character variety. The main result of this paper produces an infinite family of hyperbolic knots each of which has at least one strict boundary slope that is not strongly detected.

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Published 1 January 2007