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1984•Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

Hyperbolic, fibred links and fibre-concordances

Teruhiko Soma

Open publisher page 12 citations

Abstract

LetMbe a closed, connected, orientable 3-manifold. In Row [10], Jaco and Myers [3] and Myers [7], it was pointed out that the topological type of M is closely related to the knot theory inM. Therefore it is an interesting problem to find knots inMwith nice properties. Alexander provedMcontains a fibred link (see [9]). Myers proved, in [7],Mcontains a hyperbolic knot, and, in [8], every link inMis concordant to a hyperbolic link. In this paper we consider the fibred version of his results.

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What this paper is about

LetMbe a closed, connected, orientable 3-manifold. In Row [10], Jaco and Myers [3] and Myers [7], it was pointed out that the topological type of M is closely related to the knot theory inM. Therefore it is an interesting problem to find knots inMwith nice properties. Alexander provedMcontains a fibred link (see [9]). Myers proved, in [7],Mcontains a hyperbolic knot, and, in [8], every link inMis concordant to a hyperbolic link. In this paper we consider the fibred version of his results.

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Available abstract

LetMbe a closed, connected, orientable 3-manifold. In Row [10], Jaco and Myers [3] and Myers [7], it was pointed out that the topological type of M is closely related to the knot theory inM. Therefore it is an interesting problem to find knots inMwith nice properties. Alexander provedMcontains a fibred link (see [9]). Myers proved, in [7],Mcontains a hyperbolic knot, and, in [8], every link inMis concordant to a hyperbolic link. In this paper we consider the fibred version of his results.

Key concepts: Fibered knot, Knot (papermaking), Mathematics, Pure mathematics, Link (geometry), Topology (electrical circuits), Combinatorics, Composite material

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