翻訳と辞書 Words near each other ・ Fiber to the premises by country ・ Fiber to the premises in the United States ・ Fiber to the telecom enclosure ・ Fiber to the x ・ Fiber Twig ・ Fiber type ・ Fiber volume ratio ・ Fiber-optic communication ・ Fiber-optic Improved Next-generation Doppler Search for Exo-Earths ・ Fiber-optic inter-repeater link ・ Fiber-Optic Link Around the Globe ・ Fiber-reinforced composite ・ Fiber-reinforced concrete ・ Fibera KK-1e Utu ・ Fiberboard ・ Fibered knot ・ Fibered manifold ・ Fiberfab ・ Fiberfab Avenger GT ・ Fiberfab Valkyrie ・ Fiberforge ・ Fiberglas Tower ・ Fiberglass ・ Fiberglass mesh ・ Fiberglass molding ・ Fiberglass reinforced plastic grating ・ Fiberglass sheet laminating ・ Fiberglass spray lay-up process ・ Fiberhome Networks ・ Fiberize Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Fibered knot ： ウィキペディア英語版 Fibered knot In knot theory, a branch of mathematics, a knot or link $K$ in the 3-dimensional sphere $S^3$ is called fibered or fibred (sometimes Neuwirth knot in older texts, after Lee Neuwirth) if there is a 1-parameter family $F\_t$ of Seifert surfaces for $K$, where the parameter $t$ runs through the points of the unit circle $S^1$, such that if $s$ is not equal to $t$ then the intersection of $F\_s$ and $F\_t$ is exactly $K$. For example: * The unknot, trefoil knot, and figure-eight knot are fibered knots. * The Hopf link is a fibered link. Fibered knots and links arise naturally, but not exclusively, in complex algebraic geometry. For instance, each singular point of a complex plane curve can be described topologically as the cone on a fibered knot or link called the link of the singularity. The trefoil knot is the link of the cusp singularity $z^2+w^3$; the Hopf link (oriented correctly) is the link of the node singularity $z^2+w^2$. In these cases, the family of Seifert surfaces is an aspect of the Milnor fibration of the singularity. A knot is fibered if and only if it is the binding of some open book decomposition of $S^3$. ==Knots that are not fibered== The Alexander polynomial of a fibered knot is monic, i.e. the coefficients of the highest and lowest powers of ''t'' are plus or minus 1. Examples of knots with nonmonic Alexander polynomials abound, for example the twist knots have Alexander polynomials ''qt'' − (2''q'' + 1) + ''qt''−1, where ''q'' is the number of half-twists. In particular the Stevedore's knot is not fibered. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Fibered knot」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.