How large isotopy is needed to connect homotopic diffeomorphisms (of 𝕋2)

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2020-12-01 DOI:10.1142/S1793525320500028

D. Burago, Jin Lu, Tristan Ozuch

引用次数: 0

Abstract

Given a diffeomorphism which is homotopic to the identity from the [Formula: see text]-torus to itself, we construct an isotopy whose norm is controlled by that of the diffeomorphism in question.

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需要多大的同位素来连接同伦异象(𝕋2)

给定一个与从[公式:见文本]环面到它自身的同构同伦的微分同构，我们构造一个其范数受所讨论的微分同构范数控制的同位素。

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

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.