Timeline for manifold branched covering space for orbifolds
Current License: CC BY-SA 3.0
12 events
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| Nov 20, 2019 at 20:04 | comment | added | Mohammad Farajzadeh-Tehrani | Hi John. Can't we realize every orbifold as a quotient of its Frame bundle by O(n)? see the book of Ruan et al (Orbifold and string topology page 13) | |
| Nov 12, 2019 at 3:15 | comment | added | John Pardon | Your statement that every orbifold is a global Lie group quotient is correct, however as far as I know the first proof is given here arxiv.org/abs/1906.05816 which did not exist at the time your question was posted. Do you know of another proof of this result? | |
| May 10, 2015 at 18:11 | comment | added | Mohammad Farajzadeh-Tehrani | @ Dylan: en.wikipedia.org/wiki/Branched_covering | |
| May 10, 2015 at 1:48 | comment | added | Dylan Thurston | Can you specify exactly what you mean by a "branched covering map"? | |
| May 10, 2015 at 1:46 | comment | added | Dylan Thurston | @AriyanJavanpeykar, there's a distinction between "locally a quotient by a finite group" and "locally a quotient by a compact group with finite stabilizers". I don't know how to prove the statement in the hint, but I do know an example: You can easily find actions of $S^1$ on $S^3$ so that the quotient is naturally one of the inadmissible orbifolds $\mathbb{P}^1_{mn}$ mentioned in the problem statement. | |
| May 8, 2015 at 18:58 | history | edited | Mohammad Farajzadeh-Tehrani | CC BY-SA 3.0 |
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| May 8, 2015 at 18:56 | comment | added | Mohammad Farajzadeh-Tehrani | @ Ariyan: Think this way, if X is a non simply-connected manifold, instead of orbifold, then such M is simply a finite covering of X. | |
| May 5, 2015 at 6:09 | comment | added | Ariyan Javanpeykar | In the algebraic setting every smooth orbifold is a global quotient stack; see Thm 2.18 in arxiv.org/pdf/math/9905049v3.pdf | |
| May 5, 2015 at 6:08 | comment | added | Ariyan Javanpeykar | I'm a bit confused. You write "Not every orbifold is a global quotient", but then later you write "every orbifold is a global quotient $M/G$. | |
| Apr 20, 2015 at 15:11 | history | edited | Mohammad Farajzadeh-Tehrani | CC BY-SA 3.0 |
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| Apr 20, 2015 at 0:57 | history | edited | Mohammad Farajzadeh-Tehrani | CC BY-SA 3.0 |
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| Apr 20, 2015 at 0:49 | history | asked | Mohammad Farajzadeh-Tehrani | CC BY-SA 3.0 |