How large isotopy is needed to connect homotopic diffeomorphisms (of ๐2)
Dmitri Burago, Jinpeng Lu, Tristan Ozuch
Abstract
Dmitri Burago, Jinpeng Lu, Tristan Ozuch
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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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