2019โ€ขJournal of Topology and AnalysisRequires access

How large isotopy is needed to connect homotopic diffeomorphisms (of ๐•‹2)

Dmitri Burago, Jinpeng Lu, Tristan Ozuch

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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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What this paper is about

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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Available 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.

Key concepts: Isotopy, Diffeomorphism, Mathematics, Torus, Pure mathematics, Norm (philosophy), Identity (music), Geometry

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