Timeline for Homotopically trivial vs isotopically trivial diffeomorphisms
Current License: CC BY-SA 3.0
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| when toggle format | what | by | license | comment | |
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| Aug 29, 2016 at 0:57 | comment | added | Danny Ruberman | In dimension 3, the example for which homotopy does not imply isotopy is actually a connected sum of certain spherical space forms that are not lens spaces. See Friedman-Witt, Homotopy is not isotopy for homeomorphisms of $3$-manifolds, Topology 25 (1986), 35--44. | |
| Aug 28, 2016 at 5:13 | comment | added | seub | Very informative, great answer, thank you! | |
| Aug 28, 2016 at 5:08 | vote | accept | seub | ||
| Aug 28, 2016 at 2:47 | comment | added | Igor Belegradek | As you say D. Ruberman has examples of diffeomorphisms of 4-manifolds that are homotopic but not (smoothy) isotopic to the identity, see arxiv.org/abs/math/9807041 or Mathematical Research Letters 5, 743–758 (1998). | |
| Aug 28, 2016 at 1:53 | history | edited | Allen Hatcher | CC BY-SA 3.0 |
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| Aug 28, 2016 at 1:42 | history | edited | Allen Hatcher | CC BY-SA 3.0 |
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| Aug 28, 2016 at 1:32 | history | edited | Allen Hatcher | CC BY-SA 3.0 |
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| Aug 28, 2016 at 1:26 | history | answered | Allen Hatcher | CC BY-SA 3.0 |