Timeline for Centre of orbifold fundamental group of torus (Klein bottle) with one cone point
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Dec 4, 2022 at 1:22 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https
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| Nov 22, 2022 at 12:07 | comment | added | Carl-Fredrik Nyberg Brodda | @HJRW Agreed! (For the most part, with the remainder coming down to my ignorance; I confess I may at times be one of those people you speak of, as much as I try to avoid it...). | |
| Nov 22, 2022 at 11:56 | comment | added | HJRW | @Carl-FredrikNybergBrodda: Indeed! My point is that the judgement of both Gromov and posterity is that Dehn was right. I persist with this point because it's still a serious issue for the field: I regularly see people working on the combinatorial side exaggerating the difficulty of results that are trivial from a geometric point of view. | |
| Nov 22, 2022 at 11:09 | comment | added | Carl-Fredrik Nyberg Brodda | @HJRW I agree that SamNead's answer should be the accepted one, as OP is clearly more interested in the geometric side! (Magnus might have disagreed with him, though -- "da sind Sie also blind gegangen", after all!) | |
| Nov 22, 2022 at 10:39 | comment | added | HJRW | It’s worth reading if you like one-relator groups, but it’s the wrong way to study 2-dimensional orbifolds! These comments are really addressed at the OP: This answer is nice, but you should accept @SamNead’s (and possibly ask him to add more details), especially if you want to understand all 2-orbifolds. Gromov pointed out >35 years ago that we should be studying these kinds of examples with geometry (and Dehn would have agreed with him). | |
| Nov 22, 2022 at 9:10 | comment | added | Carl-Fredrik Nyberg Brodda | @HJRW Agreed on the sledgehammer (for the first part!), but it is such a nice paper that it is worth reading anyway :-) For the second part, it is nice to see more explicit generating sets, I think. | |
| Nov 22, 2022 at 8:52 | comment | added | HJRW | This is a sledgehammer to crack a nut! Plus note that Sam Nead's argument works verbatim for all hyperbolic orbifolds. | |
| Nov 22, 2022 at 2:28 | vote | accept | RKS | ||
| Nov 23, 2022 at 4:54 | |||||
| Nov 21, 2022 at 17:53 | comment | added | RKS | Thanks Carl for the detailed reply. I will look at the references. | |
| Nov 21, 2022 at 17:29 | history | answered | Carl-Fredrik Nyberg Brodda | CC BY-SA 4.0 |