Timeline for Surgery along an embedded surface in a 4-manifold
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| May 21, 2017 at 5:28 | comment | added | Shinichiro Nakamura | @Ruberman Thank you, I understood. Well, it seems that this question was elementary level... I will study harder and harder. | |
| May 20, 2017 at 15:46 | comment | added | Danny Ruberman | @ShinichiroNakamura You can probably find this in various books on 3-manifolds, eg Hempel. One proof can be based on the assertion that any self-homeomorphism is fiber-preserving (ie takes each circle to a circle). A reference is Scott's paper, The geometries of 3-manifolds, theorem 3.9. He refers to older work of Waldhausen and Orlik-Vogt-Zieschang as the original sources. | |
| May 20, 2017 at 6:51 | comment | added | Shinichiro Nakamura | @Ruberman Thank you for your helpful comment. May I ask you that why any self-diffeomorphism of $\Sigma_g\times S^1$ extends to a self diffeomorphism of $\Sigma_g\times D^2$ for $g\geq2$ ? | |
| May 19, 2017 at 14:06 | vote | accept | Shinichiro Nakamura | ||
| May 19, 2017 at 13:44 | history | answered | Danny Ruberman | CC BY-SA 3.0 |