Timeline for Gauge theory construction of moduli of vector bundles
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Mar 29, 2010 at 21:22 | vote | accept | Botong Wang | ||
| Mar 29, 2010 at 21:22 | |||||
| Mar 28, 2010 at 22:56 | comment | added | Johan | To add to what Joel said, besides the complex analytic GIT style and gauge theoretic constructions, both infinite dimensional, there are also finite dimensional, purely algebro-geometric constructions of these moduli-spaces (or compactifications thereof, by allowing certain non-locally free sheaves, all satisfying a suitable stability condition). For curves this is due to Mumford, Seshadri and others. In higher dimensions a lot of the work was done by Gieseker, and later Simpson. A standard reference is The Geometry of Moduli Spaces of Sheaves, by Huybrechts and Lehn. | |
| Mar 28, 2010 at 21:38 | history | edited | Joel Fine | CC BY-SA 2.5 |
Added references.
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| Mar 28, 2010 at 20:20 | history | answered | Joel Fine | CC BY-SA 2.5 |