COMMENSURABILITY CLASSES OF TWIST KNOTS

DOI10.1142/S0218216505003737zbMath1074.57007arXivmath/0311051MaRDI QIDQ4664075

Jim Hoste, Patrick D. Shanahan

Publication date: 5 April 2005

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311051

zbMATH Keywords

character varietytwist knotcommensurable

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items

The colored Jones polynomial and the \(A\)-polynomial of knots, Twisted Alexander polynomials with the adjoint action for some classes of knots, The character variety of one relator groups, The A-polynomial 2-tuple of twisted Whitehead links, On left-orderability and cyclic branched coverings, Commensurability classes containing three knot complements, Automorphic forms and rational homology 3-spheres, Farey recursion and the character varieties for 2-bridge knots, PALINDROME PRESENTATIONS OF RATIONAL KNOTS, Adjoint twisted Alexander polynomials of genus one two-bridge knots, CHARACTER VARIETIES OF ONCE-PUNCTURED TORUS BUNDLES WITH TUNNEL NUMBER ONE

Cites Work

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• Commensurability and the character variety
• How to construct all fibered knots and links
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• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• TRACE FIELDS OF TWIST KNOTS
• A FORMULA FOR THE A-POLYNOMIAL OF TWIST KNOTS
• ON THE ARITHMETIC 2-BRIDGE KNOTS AND LINK ORBIFOLDS AND A NEW KNOT INVARIANT
• Surgeries on one component of the Whitehead link are virtually fibered