Timeline for De Rham cohomology of Lie groupoid
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Jul 19, 2019 at 3:30 | vote | accept | Praphulla Koushik | ||
| Jul 12, 2019 at 9:35 | answer | added | Praphulla Koushik | timeline score: 1 | |
| Jul 12, 2019 at 8:07 | comment | added | Praphulla Koushik | @DanielPomerleano Thanks for the link. Can you give a reference for “Lie groupoid cohomology same thing as Equivariant cohomology”. Thank you :) | |
| Jul 12, 2019 at 0:41 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
Added full reference and tag
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| Jul 12, 2019 at 0:00 | comment | added | Daniel Pomerleano | In this special case your de Rham cohomology associated to the Lie groupoid is classically known as equivariant (Borel) cohomology. There is a Serre spectral sequence that has the flavour of what you want and is often used to compute equivariant cohomology; see (1.2.1) of math.ias.edu/~goresky/pdf/equivariant.jour.pdf. Note that first page of the Serre spectral sequence involves cohomology over $BG$, in general with twisted coefficient group. The relation to $H^*(G)$ is more subtle (this is the "Koszul duality" in the title of the linked paper). | |
| Jul 11, 2019 at 22:17 | comment | added | Praphulla Koushik | Please see edit @InfiniteLooper | |
| Jul 11, 2019 at 22:15 | history | edited | Praphulla Koushik | CC BY-SA 4.0 |
added 54 characters in body
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| Jul 11, 2019 at 22:11 | comment | added | InfiniteLooper | What is DeRham Cohomology of a Lie groupoid ? Do you mean groupoid cohomology defined the same way as group cohomology but restricting to composable chains ? | |
| Jul 11, 2019 at 21:54 | history | edited | YCor | CC BY-SA 4.0 |
fixed typos. "de rham" takes capital at the beginning of a sentence, and hence in the title.
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| Jul 11, 2019 at 21:51 | history | asked | Praphulla Koushik | CC BY-SA 4.0 |