Timeline for Is there a stacky definition of irreducible symplectic manifold?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| May 11, 2020 at 3:32 | comment | added | Walter field | Many times Thank you. And what are the open problems with shifted symplectic structure? | |
| May 10, 2020 at 18:26 | comment | added | Jon Pridham | yes, by throwing away the higher structure | |
| May 10, 2020 at 17:28 | comment | added | Walter field | Thank you very much! Does that mean that the result of TPVV can lead to the result of arxiv.org/abs/1111.6294v1 ? | |
| May 10, 2020 at 17:01 | comment | added | Jon Pridham | The definition you mention in arxiv.org/abs/1111.6294v1 looks like an attempt at a $0$-shifted symplectic structure, but seems to omit any sort of closure condition. Beware that the survey arxiv.org/pdf/1603.02753.pdf which Balazs mentions really just summarises CPTVV, neglecting to mention much related literature. For differentiable stacks, a summary on shifted structures is arxiv.org/pdf/1804.07622 , including references to related mathematical physics papers. Some of Safronov's papers are also a good place to look if you want to see where these structures arise in the wild. | |
| May 10, 2020 at 16:10 | comment | added | Walter field | I apologize for the many questions, but I would be grateful if you could also give me some good literature for learning derived algebraic geometry and shifted symplectic structures. | |
| May 10, 2020 at 16:06 | comment | added | Walter field | Thank you very much! And what is the difference between the definition on the third page of arxiv.org/abs/1111.6294v1 and the shifted Symplectic structures? | |
| May 10, 2020 at 15:53 | comment | added | Balazs | There is a relatively large body of recent literature on derived (shifted) sympectic structures - look in works of a subset of Calanque, Pantev, Toen, Vaquie, Vezzosi, etc. A review is in arxiv.org/pdf/1603.02753.pdf | |
| May 10, 2020 at 14:49 | comment | added | Praphulla Koushik | Have a look at arxiv.org/pdf/1903.05632.pdf. In page number 7, they define Symplectic stacks. It might be of some use.. You can also look at marle.perso.math.cnrs.fr/publications/Liegroupoids.pdf This define/discuss symplectic Lie groupoids. It is not necessary to remind that Lie groupoids and differentible stacks are closely related.. :) | |
| May 10, 2020 at 14:25 | history | asked | Walter field | CC BY-SA 4.0 |