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Article Dans Une Revue Journal of Topology and Analysis Année : 2020

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

Jinpeng Lu
Tristan Ozuch
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Résumé

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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Dates et versions

hal-04011630 , version 1 (02-03-2023)

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Dmitri Burago, Jinpeng Lu, Tristan Ozuch. How large isotopy is needed to connect homotopic diffeomorphisms (of $T^2$). Journal of Topology and Analysis, 2020, 12 (04), pp.1213-1222. ⟨10.1142/S1793525320500028⟩. ⟨hal-04011630⟩
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