Timeline for Anti-self-dual connections on CP^2
Current License: CC BY-SA 3.0
5 events
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| Dec 16, 2013 at 18:23 | comment | added | Albuquerque | You also have the Atiyah-Drinfeld-Hitchin-Manin construction en.wikipedia.org/wiki/ADHM_construction, on one side, and twistor space of Atiyah-Hitchin-Singer, or actually and originally R Penrose, on the other, which leads to complex algebraic geometry and results of Horrocks, Barth and Hartshorne. The twistor space of CP2 is the flag manifold F(C3)... | |
| Jun 30, 2013 at 18:26 | comment | added | Chris Gerig | Donaldson-Kronheimer's book The Geometry of Four-Manifolds computes the moduli space for small 2nd Chern class (it's empty for $c_2=1$); check the examples in chapter 4. But it's not computed by explicitly writing down connections (compared to the $S^4$ scenario). You should be able to find appropriate references there. | |
| Jun 30, 2013 at 14:03 | history | edited | Ryan Du |
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| Jun 30, 2013 at 13:53 | history | migrated | from meta.mathoverflow.net (revisions) | ||
| Jun 30, 2013 at 13:48 | history | asked | Ryan Du | CC BY-SA 3.0 |