Timeline for a question about Gromov-Witten invariant
Current License: CC BY-SA 2.5
6 events
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| Dec 8, 2009 at 13:19 | comment | added | Paul Johnson | The equivariant GW/DT correspondence has been proven for toric 3-folds in MOOP: front.math.ucdavis.edu/0809.3976. There's been a huge explosion in the study of the DT-type sheaf theories recently - the names here are Joyce and Kontsevich-Soibelman - but I know less about this than I should, and any link I'd give you would be almost random. | |
| Dec 8, 2009 at 13:00 | comment | added | Kevin H. Lin | Charles: I think there has been a lot of recent progress in showing equivalence of Gromov-Witten, Donaldson-Thomas, and Pandharipande-Thomas theories, but I don't know much about this stuff and I don't know any references off the top of my head. | |
| Dec 8, 2009 at 12:55 | comment | added | Kevin H. Lin | Charles: See this paper by Siebert arxiv.org/abs/math/9804108 and this paper by Li-Tian arxiv.org/abs/alg-geom/9712035 | |
| Dec 8, 2009 at 12:50 | comment | added | Charles Siegel | Paul, my understanding is that it's still conjectural that algebraic GW and symplectic GW give equivalent info, along with pretty much every other curve-counting scheme. If they've been shown to be the same (even, say, for genus 0, where things don't get SO bad) could you provide a reference? | |
| Dec 8, 2009 at 12:04 | history | edited | Kevin H. Lin | CC BY-SA 2.5 |
added 8 characters in body
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| Dec 8, 2009 at 11:55 | history | answered | Paul Johnson | CC BY-SA 2.5 |