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 …
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) …
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 …
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 …
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 …
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 …
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 …
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 …
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 …