[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 …

Band-sums are ribbon concordant to the connected sum

K Miyazaki - Proceedings of the American Mathematical Society, 1998 - ams.org
BAND-SUMS ARE RIBBON CONCORDANT TO THE CONNECTED SUM 1. Introduction In this
paper we consider oriented knots and links in the o Page 1 PROCEEDINGS OF THE …

Nullification of torus knots and links

C Ernst, A Montemayor - Journal of Knot Theory and Its …, 2014 - World Scientific
It is known that a knot/link can be nullified, ie can be made into the trivial knot/link, by
smoothing some crossings in a projection diagram of the knot/link. The minimum number of …

Nullification numbers of knots with up to 10 crossings

C Ernst, A Montemayor - Journal of Knot Theory and Its …, 2016 - World Scientific
In this paper, we consider the nullification numbers ni (L) of the 249 prime knots up to 10
crossings to an unlink with i components. This extends an existing table of knot nullification …

Refilling meridians in a genus 2 handlebody complement

M Scharlemann - The Zieschang Gedenkschrift, 2008 - msp.org
1 Background For a knot or link in a 3–manifold, here are some natural geometric questions
that arise, in roughly ascending order of geometric sophistication: is the knot the unknot? is …

[HTML][HTML] When is a band-connected sum equal to the connected sum?

K Miyazaki - Topology and its Applications, 2020 - Elsevier
When is a band-connected sum equal to the connected sum? - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

Remarks on n-equivalence of knots and links

LP Plachta - Математичні методи та фізико-механічні …, 2017 - journals.iapmm.lviv.ua
Анотація In this paper, we announce some new results concerning the relationship between
Vassiliev knot invariants and canonical and classical genera of knots in a 3-space and study …

de Gruyter Studies in Mathematics

F Hirsch, M Campiti, Y Oshima, M Takeda, H Heyer… - degruyter.com
In many branches of mathematics, one encounters the question of how to reconstruct a
convex set from information on its vertices. This idea successfully emerged as the Krein …

Genera, band sum of knots and Vassiliev invariants

L Plachta - Topology and its Applications, 2007 - Elsevier
Recently Stoimenow showed that for every knot K and any n∈ N and u0⩾ u (K) there is a
prime knot [Formula: see text] which is n-equivalent to the knot K and has unknotting number …