Timeline for What are some "good" examples of Kan simplicial manifolds?
Current License: CC BY-SA 4.0
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| Dec 24, 2020 at 19:49 | history | edited | Adittya Chaudhuri | CC BY-SA 4.0 |
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| Dec 24, 2020 at 19:17 | vote | accept | Adittya Chaudhuri | ||
| Dec 24, 2020 at 19:06 | answer | added | Dmitri Pavlov | timeline score: 6 | |
| Dec 24, 2020 at 15:03 | history | edited | Adittya Chaudhuri | CC BY-SA 4.0 |
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| Dec 24, 2020 at 14:54 | comment | added | Adittya Chaudhuri | In the definition 3.1.1 of Cech cocycles for differential characteristic classes – An ∞-Lie theoretic construction by Fiorenza, Schreiber and Stasheff arxiv.org/pdf/1011.4735.pdf, the notion of Smooth $\infty-$ groupoid is defined and it is mentioned that Kan simplicial manifolds is special kind of smooth $\infty-$ groupoids called representable smooth $\infty-$ groupoids. In Page 17 , in example 3.1.2 they mentioned that the Cech $\infty$-groupoid(defined in the same page) and nerves of Lie groupoids are examples of representable smooth $\infty-$ groupoids. | |
| Dec 24, 2020 at 14:18 | comment | added | Adittya Chaudhuri | Though I have not verified completely but I am expecting that the internal nerve of a Lie groupoid should be an example of Kan simplicial manifold. This fact is mentioned (without proof) just after the definition 1.1 of the paper Kan replacement of simplicial manifolds by Chenchang Zhu arxiv.org/pdf/0812.4150.pdf | |
| Dec 24, 2020 at 13:46 | history | asked | Adittya Chaudhuri | CC BY-SA 4.0 |