Detecting essential surfaces as intersections in the character variety

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3 Scopus citations

Abstract

We describe a family of hyperbolic knots whose character variety contain exactly two distinct components of characters of irreducible representations. The intersection points between the components carry rich topological information. In particular, these points are nonintegral and detect a Seifert surface.

Original languageEnglish (US)
Pages (from-to)2893-2914
Number of pages22
JournalAlgebraic and Geometric Topology
Volume17
Issue number5
DOIs
StatePublished - Sep 19 2017
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017, Mathematical Sciences Publishers. All rights reserved.

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