Timeline for Balanced presentation of the fundamental group of a Seifert fiber space
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 3, 2021 at 4:39 | history | became hot network question | |||
| Jul 2, 2021 at 21:46 | answer | added | Danny Ruberman | timeline score: 9 | |
| Jul 2, 2021 at 21:41 | comment | added | lemon314 | @RyanBudney, you misunderstand: the input is the Seifert fibration, say $\{g, e, (a_{i}/b_{i})\}$. The output is to be a balanced presentation of its fundamental group. Not the other way round. | |
| Jul 2, 2021 at 21:22 | comment | added | Ryan Budney | You can't derive the Seifert invariants from the fundamental group. At least, not if you are considering it as only a group. If you use presentations you could give the group additional structure -- marked subgroups, etc. | |
| Jul 2, 2021 at 21:12 | comment | added | lemon314 | @RyanBudney, I meant the classifying invariants of the Seifert space (it's symbols, if you will). They do classify the Seifert spaces, and therefore encode balanced presentations of their fundamental groups - so I ask about these presentations expressed in terms of these invariants. | |
| Jul 2, 2021 at 21:00 | comment | added | Ryan Budney | I'm a little confused. In general, Seifert fibered spaces can't be classified by their fundamental group -- for example, see Lens spaces. | |
| Jul 2, 2021 at 20:39 | history | asked | lemon314 | CC BY-SA 4.0 |