Timeline for Generalization of Gromov-Witten theory counting surfaces, 3-folds, etc
Current License: CC BY-SA 4.0
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Oct 25 at 7:02 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
Sep 25 at 6:43 | answer | added | Xian Wu | timeline score: 0 | |
Sep 24 at 12:51 | comment | added | Jason Starr | @Balazs There is no perfect obstruction theory, no virtual fundamental class, no recursion relations . . . | |
Sep 24 at 8:52 | comment | added | Balazs | There is "Moduli spaces M_{g,n}(W) for surfaces" by Valery Alexeev arxiv.org/pdf/alg-geom/9410003, which constructs a relevant moduli space. Perhaps forward searching for papers referring to this one will turn up something useful. | |
Sep 24 at 8:06 | comment | added | Jason Starr | Certainly there are cycle classes on moduli spaces of rational curves “counting” such surfaces. However, these are not (typically) symplectic invariants, nor do they have the other good properties of Groningen-Witten invariants. You can sometimes use Gromov-Witten invariants to deduce existence of rational surfaces (and this is a symplectic invariant). | |
Sep 24 at 3:31 | history | asked | hyyyyy | CC BY-SA 4.0 |