Timeline for What can you do with a compact moduli space?
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 21, 2010 at 9:32 | comment | added | Joel Fine | @Kevin. In GW theory, integrating a top degree cohom class is of course counting the number of curves which satisfy certain properties. For a particular choice of almost complex structure, these points may well be located away from the boundary - your class is represented by a compactly supported form. But the problem is that for arbitrary deformations of the almost complex structure the points will inevitably end up on the boundary. Demanding a representative exist with compact support isn't a property which is independent of the choice of almost complex structure. | |
| Apr 20, 2010 at 17:08 | comment | added | Kevin H. Lin | I have often wondered, though, whether it is possible to have a "Gromov-Witten theory" for, say, integrals of compactly supported things over the uncompactified moduli space(s). | |
| Apr 20, 2010 at 7:59 | history | answered | xv54678 | CC BY-SA 2.5 |