Timeline for Tangent space of moduli of stable principal $G$-bundles on a compact Riemann surface
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Apr 12, 2017 at 23:24 | comment | added | Artur Jackson | It is also totally fine to think of BG as simplicial object (manifold, scheme, etc). Very easy to convert from this to the stack (functor taking values in groupoids): consider it's functor of points (taking values in simplicial sets) and take the 1-truncation of this. | |
| Oct 25, 2016 at 18:07 | comment | added | Qiaochu Yuan | @Daniel: $BG$ is a stack; its functor of points sends a thing (smooth manifold, variety, scheme, whatever) to the groupoid of $G$-bundles on the thing. It can be presented by a simplicial thing, if you like. | |
| Oct 25, 2016 at 15:38 | comment | added | Daniel Barter | I like this but I want to understand the third paragraph better. Here is a question: Should I be thinking about BG as a simplicial manifold? | |
| Oct 25, 2016 at 4:19 | history | answered | Qiaochu Yuan | CC BY-SA 3.0 |