How large isotopy is needed to connect homotopic diffeomorphisms (of 𝕋2)-Reference-Cited by-同舟云学术

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

Published:2019-02-04 Issue:04 Volume:12 Page:1213-1222
ISSN:1793-5253
Container-title:Journal of Topology and Analysis
language:en
Short-container-title:J. Topol. Anal.

Author:

Burago Dmitri¹,Lu Jinpeng¹^ORCID,Ozuch Tristan²

Affiliation:

1. Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA

2. Département de Mathématiques et Applications, École Normale Supérieure, PSL Research University, 45 rue d’Ulm, Paris 75005, France

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.

Funder

National Science Foundation

Publisher

World Scientific Pub Co Pte Lt

Subject

Geometry and Topology,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793525320500028

Reference11 articles.

1. Parabolic Equations for Curves on Surfaces Part I. Curves with p-Integrable Curvature

2. Nonlinear analytic semiflows

3. Maximal regularity, the local inverse function theorem, and local well-posedness for the curve shortening flow

4. A Primer on Mapping Class Groups

5. The heat equation shrinking convex plane curves

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