Rigid isotopy of maximally writhed links

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2019-02-11 DOI:10.14231/AG-2021-006

G. Mikhalkin, S. Orevkov

引用次数: 2

Abstract

This is a sequel to the paper \cite{MO-mw} which identified maximally writhed algebraic links in $\rp^3$ and classified them topologically. In this paper we prove that all maximally writhed links of the same topological type are rigidly isotopic, i.e. one can be deformed into another with a family of smooth real algebraic links of the same degree.

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最大扭链的刚性同位素

这是论文\cite{MO-mw}的续集，该论文在$\rp^3$中识别了最大扭曲代数链路并对其进行了拓扑分类。在本文中，我们证明了所有具有相同拓扑类型的最大扭曲连杆都是刚性同位素的，即一个连杆可以用一组相同度的光滑实代数连杆变形成另一个连杆。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.