Timeline for Is it possible to fill a boundary component of an irreducible 3-manifold using a handlebody so that the resulting manifold is still irreducible?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Aug 24 at 14:06 | vote | accept | YC Su | ||
| Aug 4 at 7:58 | comment | added | Sam Nead | @YCSu - I've answered (elsewhere) your new question, and I've rewritten (here) my answer to this question. Please let me know if you have questions (or comments!) about either. | |
| Aug 4 at 7:57 | history | edited | Sam Nead | CC BY-SA 4.0 |
added 1849 characters in body
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| Aug 2 at 17:37 | comment | added | YC Su | By attaching a 2-handle onto $S$ along a curve $\alpha$, suppose we obtain a reducible manifold $N$. I found in many articles (mainly about toral boundary) the following fact which I'm a little confused. Suppose $F=S^2$ is a reducing sphere in $N$, and up to isotopy we can assume $F\cap \partial M$ is some parallel copies of $\alpha$. If $F$ is chosen such that the number of components of $F\cap \partial M$ is minimal, then $F\cap M\subseteq M$ is incompressible and $\partial$-incompressible. I understand why it is incompressible, but I don't get the point why it is $\partial$-incompressible. | |
| Aug 1 at 16:36 | vote | accept | YC Su | ||
| Aug 1 at 16:47 | |||||
| Aug 1 at 6:00 | vote | accept | YC Su | ||
| Aug 1 at 16:36 | |||||
| Jul 31 at 17:12 | history | answered | Sam Nead | CC BY-SA 4.0 |