Timeline for Isotopy-classes of oriented Schoenflies spheres in $S^4$ is a group under oriented connect-sum
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 4, 2023 at 18:03 | comment | added | Chris Gerig | Perfect! I was betting that it was going to make use of your recent paper with Gabai | |
| Apr 4, 2023 at 1:41 | comment | added | Ryan Budney | @ChrisGerig here you go: arxiv.org/abs/2304.00136 | |
| Mar 29, 2023 at 0:18 | comment | added | Ryan Budney | @ChrisGerig: if a proof is already in the literature, the purpose of this thread is to make people aware of it. If there isn't one (pre 2019) I'd maybe write a short expository argument that outlines how this follows with an elementary argument from published material. Given the lack of response in this thread I've contacted a few people directly, to verify if this result is known. | |
| Mar 27, 2023 at 22:28 | comment | added | Chris Gerig | Which 2019+ proof exists? | |
| Mar 25, 2023 at 20:26 | comment | added | Ryan Budney | @IgorBelegradek: I'm asking for a reference to a proof before 2019, i.e. I do not have references. You seem to want me to talk about what this question is specifically not about. I don't see the point. | |
| Mar 24, 2023 at 14:52 | comment | added | Igor Belegradek | After the second look I realized that you are probably asking at the end if the monoid of smooth structures on $S^4$ is a group. | |
| Mar 24, 2023 at 14:01 | comment | added | Igor Belegradek | Wouldn't the question make more sense if you add references? You say that you know "only one proof that this monoid is a group in the literature" and ask for other proofs. Which proof do you know? Also what "analogous results for the monoidal structure on smooth structures on $S^4$" are you asking about? | |
| Mar 24, 2023 at 0:19 | history | asked | Ryan Budney | CC BY-SA 4.0 |