Timeline for Mappings of reducible 3 manifolds with boundary
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 3, 2023 at 4:52 | comment | added | ThorbenK | @RyanBudney maybe my wording was a bit off. I'm aware that it does not describe the automorphisms completely but it splits it into more manageable pieces that are mostly related to automorphism groups of prime manifolds. For the application I had in mind I wanted something similar since I can manage automorphisms of prime manifolds just fine but the reducible case seems too complicated without a McCullough type result. | |
| Jun 3, 2023 at 0:44 | comment | added | Ryan Budney | of the handlebody in the filled manifold. That would be a type of generalization of McCullough's result. | |
| Jun 3, 2023 at 0:43 | comment | added | Ryan Budney | The McCullough result doesn't really describe the automorphisms of reducible 3-manifolds -- if you don't know the automorphism group of the reducible factors. i.e. it reduces to another case, which you have to deal with using other tools. At that level of generality, yes there's plenty of results. If the manifold has boundary there is the extension $Diff(M) \to Diff(Filled M) \to Emb(Filling manifold, filled M)$ where the "filled M" means any closed manifold you can construct by attaching handlebodies to the boundary of $M$, and the space on the right is the space of embeddings. . . | |
| Jun 2, 2023 at 14:46 | history | edited | Sam Nead | CC BY-SA 4.0 |
spelling
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| Jun 2, 2023 at 14:40 | history | edited | ThorbenK | CC BY-SA 4.0 |
Fit question to Sam Neads answer
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| Jun 2, 2023 at 13:20 | answer | added | Sam Nead | timeline score: 3 | |
| Jun 2, 2023 at 10:28 | history | asked | ThorbenK | CC BY-SA 4.0 |