Algebra for Heckoid Groups

DOI10.2307/2153988zbMath0786.57004OpenAlexW4236099286MaRDI QIDQ4032458

Robert Riley

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2153988

zbMATH Keywords

representation varietyHeckoid polynomialslink normal formpolynomials associated with 2-bridge knotprecusp polynomial

Mathematics Subject Classification ID

Related Items (15)

Classification of parabolic generating pairs of Kleinian groups with two parabolic generators ⋮ A personal account of the discovery of hyperbolic structures on some knot complements ⋮ Epimorphisms from 2-bridge link groups onto Heckoid groups. I ⋮ Epimorphisms from 2-bridge link groups onto Heckoid groups. II ⋮ Detecting essential surfaces as intersections in the character variety ⋮ The A-polynomial 2-tuple of twisted Whitehead links ⋮ A representation of knot polynomials ⋮ The Kauffman bracket skein module of two-bridge links ⋮ On the volume of double twist link cone-manifolds ⋮ Peripheral polynomials of hyperbolic knots ⋮ Classification of non-free Kleinian groups generated by two parabolic transformations ⋮ New formulas for the character varieties of two-bridge links ⋮ A Survey of the Impact of Thurston’s Work on Knot Theory ⋮ On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots ⋮ \(\text{SO}_ 3(\mathbb{R})\)-representation curves for two-bridge knot groups

Cites Work

• Knoten mit zwei Brücken
• Compact 3-manifolds of constant negative curvature fibering over the circle
• Ideal points and incompressible surfaces in two-bridge knot complements
• Applications of a Computer Implementation of Poincare's Theorem on Fundamental Polyhedra
• The Orbit Space of a Kleinian Group: Riley's Modest Example
• NONABELIAN REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS
• KNOTS WITH THE PARABOLIC PROPERTY P
• Parabolic Representations of Knot Groups, I

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