CONJUGATE GENERATORS OF KNOT AND LINK GROUPS

DOI10.1142/S0218216510008248zbMath1207.57002arXiv0806.3452OpenAlexW3105359679MaRDI QIDQ3586219

Jason Callahan

Publication date: 6 September 2010

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

Full work available at URL: https://arxiv.org/abs/0806.3452

zbMATH Keywords

knot grouparithmetic Kleinian grouptwo-bridge knot or link

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Uses Software

• SnapPea

Cites Work

• Incompressible surfaces in 2-bridge knot complements
• The \(\pi\)-orbifold group of a link
• Generators of the free product with amalgamation of two infinite cyclic groups
• Arithmetic triangle groups
• Non-Haken 3-manifolds are not large with respect to mappings of non-zero degree
• Normal forms of generating pairs for Fuchsian and related groups
• The structure of 3-manifolds with two-generated fundamental group
• Hyperbolic 3-manifolds with two generators
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• A quadratic parabolic group
• Two-Generator Arithmetic Kleinian Groups II
• Arithmeticity, discreteness and volume
• Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds

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