Timeline for How can I see the "missing" Poisson center when the rank of the Poisson structure drops?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 21, 2011 at 3:53 | vote | accept | Theo Johnson-Freyd | ||
| Oct 21, 2011 at 3:53 | history | bounty ended | Theo Johnson-Freyd | ||
| Oct 15, 2011 at 8:25 | answer | added | Nicola Ciccoli | timeline score: 2 | |
| Oct 15, 2011 at 6:12 | history | bounty started | Theo Johnson-Freyd | ||
| Aug 17, 2011 at 14:18 | comment | added | Theo Johnson-Freyd | Incidentally, there are other ways to see the leaves with extra codimension. For example, the Poisson bivector determines a differential on the graded algebra of antisymmetric multivector fields (the differential is given by the Schouten-Nijenhuis bracket with the Poisson bivector; that it squares to zero is equivalent to the Jacobi identity); this complex computes Poisson cohomology, and is related to the BRST-BV complex that physicists use. The homology of this complex can (sometimes) see the missing leaves, e.g. I think I can see the (locally) closed leaves by studying $H^0$. | |
| Aug 17, 2011 at 14:13 | history | asked | Theo Johnson-Freyd | CC BY-SA 3.0 |