Low-Dimensional TopologyR. Brown, T. L. Thickstun This volume consists of the proceedings of a conference held at the University College of North Wales (Bangor) in July of 1979. It assembles research papers which reflect diverse currents in low-dimensional topology. The topology of 3-manifolds, hyperbolic geometry and knot theory emerge as major themes. The inclusion of surveys of work in these areas should make the book very useful to students as well as researchers. |
Contents
Sewingup link exteriors | 27 |
The universal abelian cover of a link | 51 |
Levines theorem a remark | 67 |
Seven excellent knots | 81 |
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Common terms and phrases
2-bridge knots 2-cells 3-manifolds 3-sphere A₁ abelian Alexander polynomial algebraic aspherical automorphism boundary C-complex complete hyperbolic structure components conformal structure conjugation corresponding crossed modules cycle cyclic defined denote diagram dimension disc double groupoid edges EH-edges elements equations example excellent p-rep factorisation finite follows Ford domain free crossed free group fundamental group generalisation geometric given H₁ H₂ Haken manifolds Hence homeomorphic homology sphere homotopy group hyperbolic structure identity property identity sequence integer invariant irreducible irredundant isometry isomorphic J.H.C. Whitehead knot group Lemma London Math M₂ matrix morphism normal obtained orbit p-rep Peiffer equivalent Poincaré presentation pre-crossed T-module Proposition proved relations result Seifert surface Seifert-van Kampen theorem subgroup symmetry T(ƏM theory Topology torus U₁ w-groupoids w₂ Y-sequence ZZ G пке