How large isotopy is needed to connect homotopic diffeomorphisms (of 2)

Dmitri Burago, Jinpeng Lu, Tristan Ozuch

Research output: Contribution to journalArticle

Abstract

Given a diffeomorphism which is homotopic to the identity from the 2-torus to itself, we construct an isotopy whose norm is controlled by that of the diffeomorphism in question.

Original languageEnglish (US)
JournalJournal of Topology and Analysis
DOIs
StatePublished - Jan 1 2019

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Isotopy
Diffeomorphism
Diffeomorphisms
Torus
Norm

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology

Cite this

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title = "How large isotopy is needed to connect homotopic diffeomorphisms (of 2)",
abstract = "Given a diffeomorphism which is homotopic to the identity from the 2-torus to itself, we construct an isotopy whose norm is controlled by that of the diffeomorphism in question.",
author = "Dmitri Burago and Jinpeng Lu and Tristan Ozuch",
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How large isotopy is needed to connect homotopic diffeomorphisms (of 2). / Burago, Dmitri; Lu, Jinpeng; Ozuch, Tristan.

In: Journal of Topology and Analysis, 01.01.2019.

Research output: Contribution to journalArticle

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AU - Lu, Jinpeng

AU - Ozuch, Tristan

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