[图书][B] Knots

G Burde, H Zieschang - 2002 - degruyter.com
Bibliography Page 1 Bibliography In addition to the usual data each title contains one or more
code numbers indicating the particular fields the paper belongs to (eg, <K16>, knot groups; …

[引用][C] A survey of knot theory

A Kawauchi - 1996 - books.google.com
Knot theory is a rapidly developing field of research with many applications not only for
mathematics. The present volume, written by a well-known specialist, gives a complete …

Non-hyperbolic manifolds obtained by Dehn surgery on hyperbolic knots

M Eudave-Muñoz - Studies in Advanced Mathematics, 1996 - books.google.com
Mk-Let k be a knot in S³. Let M₁= S³—intŋ (k) the exterior of k. Denote by M (r) the 3-
manifold obtained by performing r-Dehn surgery on k, where r is a slope on OM. A (r, s) …

Band sums of links which yield composite links. The cabling conjecture for strongly invertible knots

M Eudave Muñoz - Transactions of the American Mathematical Society, 1992 - ams.org
We consider composite links obtained by bandings of another link. It is shown that if a
banding of a split link yields a composite knot then there is a decomposing sphere crossing …

On the question of genericity of hyperbolic knots

AV Malyutin - International Mathematics Research Notices, 2020 - academic.oup.com
A well-known conjecture in knot theory says that the proportion of hyperbolic knots among
all of the prime knots of or fewer crossings approaches as approaches infinity. In this article …

[PDF][PDF] The classification of nonsimple algebraic tangles

YQ Wu - Mathematische Annalen, 1996 - homepage.math.uiowa.edu
A tangle is a pair (B, T), where B is a 3-ball, T is a pair of properly embedded arcs. When
there is no ambiguity we will simply say that T is a tangle. Let E (T)= B− IntN (T) be the …

Crossing changes

M Scharlemann - Chaos, Solitons & Fractals, 1998 - Elsevier
This is an expository survey article about the role that the simple operation of changing a
crossing has played in knot theory. Topics include: the connections between unknotting …

The classification of rational subtangle replacements between rational tangles

KL Baker, D Buck - Algebraic & Geometric Topology, 2013 - msp.org
A natural generalization of a crossing change is a rational subtangle replacement (RSR).
We characterize the fundamental situation of the rational tangles obtained from a given …

[PDF][PDF] A note on unlinking numbers of Montesinos links

K Motegi - Rev. Mat. Univ. Complut. Madrid, 1996 - core.ac.uk
A Note on Unlinking Numbers of Montesinos Iinks Page 1 REVISTA MATEMÁTICA de la
Universidad Complutense de Madrid Volumen 9, número 1: 1996 A Note on Unlinking …

Essential tori obtained by surgery on a knot

M Eudave-Muñoz - Pacific Journal of Mathematics, 1995 - msp.org
It is proved that if Dehn surgery on a strongly invertible knot, which is not a satellite knot
yields a manifold containing an incompressible torus, then the slope of the surgery consists …