Timeline for Hitchin fibration outside of type A
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 8, 2013 at 19:40 | vote | accept | Puraṭci Vinnani | ||
| Feb 5, 2013 at 5:32 | answer | added | Tony Pantev | timeline score: 8 | |
| Feb 4, 2013 at 19:14 | history | edited | Puraṭci Vinnani | CC BY-SA 3.0 |
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| Feb 4, 2013 at 16:49 | comment | added | Pavel Safronov | ... In general, however, $c$ does not carry an algebra structure and there is no analogous $\mathrm{rk} G:1$ cover, only a (ramified) $|W|:1$ cover parametrizing Borels containing $c$. | |
| Feb 4, 2013 at 16:47 | comment | added | Pavel Safronov | Just to illustrate the necessity of cameral covers for general groups. If you have a regular Higgs field $\phi\in H^0(X, \mathrm{ad} P\otimes K)$, its centralizer $c\subset \mathrm{ad} P$ will be a subbundle of abelian Lie algebras (its rank is the rank of the group). When $G=GL_n$, the multiplication on $\mathrm{ad} P$ descends to a commutative algebra structure on $c$, so you can take the relative Spec of $c$ to obtain the spectral cover... | |
| Feb 4, 2013 at 13:35 | answer | added | Ana | timeline score: 10 | |
| Feb 4, 2013 at 7:23 | comment | added | IMeasy | you didn't define $X$. Is $X=C$? | |
| Feb 3, 2013 at 19:30 | history | asked | Puraṭci Vinnani | CC BY-SA 3.0 |