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Timeline for Why study orbifolds? [closed]

Current License: CC BY-SA 4.0

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Jun 23, 2018 at 11:57 vote accept Praphulla Koushik
Jun 7, 2018 at 17:38 history closed Neil Strickland
Jan-Christoph Schlage-Puchta
Yonatan Harpaz
user6976
András Bátkai
Needs details or clarity
Jun 6, 2018 at 23:45 answer added aglearner timeline score: 6
Jun 6, 2018 at 15:44 comment added Praphulla Koushik @LeeMosher Sir, it was not about retyping all information here. I wanted to say that Wikipedia pag does not say anything about groupoid approach for orbifolds. I thought my question was specific, I am asking how does one explain others what orbifolds are and how they occur naturally and what tools do we use to study thei geometry.
Jun 6, 2018 at 15:41 history edited Praphulla Koushik CC BY-SA 4.0
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Jun 6, 2018 at 15:39 comment added Praphulla Koushik @LiviuNicolaescu I did not say whether it is good or not.. it may be good but did not say anything in groupoids approach.. I am aware of that book orbifolds and string topology but could not see that in detail.. I will see as you have said..
Jun 6, 2018 at 15:36 comment added Praphulla Koushik @IanAgol thank you for the reference. I will see that :)
Jun 6, 2018 at 15:34 comment added Lee Mosher But if you can formulate a specific question about groupoids and orbifolds, that might be a good question.
Jun 6, 2018 at 15:33 comment added Lee Mosher Getting the imprimatur of @IanAgol for that wikipedia page is quite a strong verification, particularly since no-one here is going to retype all the information on that wikipedia page into an answer on this site.
Jun 6, 2018 at 15:30 comment added Liviu Nicolaescu The reference Orbifolds and Stringy topology indicated in the Wikipedia article discusses the grupoid approcah to orbifolds.
Jun 6, 2018 at 15:23 comment added Liviu Nicolaescu The article in Wikipedia indicated by Ian Agol is excellent.
Jun 6, 2018 at 15:23 comment added Ian Agol @PraphullaKoushik : the book by Bridson-Haefliger “Metric spaces of nonpositive curvature” has a discussion of Étale groupoids, which generalize orbifolds.
Jun 6, 2018 at 12:41 history edited Praphulla Koushik CC BY-SA 4.0
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Jun 6, 2018 at 12:40 answer added Alexander Schmeding timeline score: 5
Jun 6, 2018 at 12:39 comment added Praphulla Koushik @IanAgol After receiving 3 upvotes for your comment and a downvote for my question, (and still counting) I wanted to see if Wikipedia page really gives some idea and i see that there is no mention of the groupoid approach which is what I am looking for..
Jun 6, 2018 at 12:12 review Close votes
Jun 7, 2018 at 17:38
Jun 6, 2018 at 11:57 comment added Praphulla Koushik @user75829 Resume says “This is an exposition of the interrelation between orbifolds and crystallographic groups of the plane, focussing especially on patterns that occur in the Alhambra in Granada. ” It does not sound like it is for a general audience. It is in a language that I don’t read. Thanks for the reference though,..
Jun 6, 2018 at 11:55 comment added Praphulla Koushik @IanAgol I stopped looking at Wikipedia as it is not reviewed 100%. I think I get fully verified statements here than in Wikipedia.
Jun 6, 2018 at 11:52 comment added Ian Agol I think that the wikipedia page amply answers this question. en.wikipedia.org/wiki/Orbifold
Jun 6, 2018 at 11:37 history asked Praphulla Koushik CC BY-SA 4.0