Not all boundary slopes are strongly detected by the character variety

Eric Chesebro; Stephan Tillmann

doi:10.4310/CAG.2007.v15.n4.a2

Not all boundary slopes are strongly detected by the character variety

Eric Chesebro, Stephan Tillmann

Mathematics

University of Melbourne

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Pages (from-to)	695-723
Number of pages	29
Journal	Communications in Analysis and Geometry
Volume	15
Issue number	4
DOIs	https://doi.org/10.4310/CAG.2007.v15.n4.a2
State	Published - Oct 2007

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10.4310/CAG.2007.v15.n4.a2

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title = "Not all boundary slopes are strongly detected by the character variety",

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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Not all boundary slopes are strongly detected by the character variety

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