Timeline for genus-zero Gromov-Witten invariants
Current License: CC BY-SA 3.0
4 events
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Dec 26, 2012 at 18:23 | comment | added | Andrea Loi | Thank you for your answer. Yes I think you answer to my question. My problem was the following (with the same notation as in my question). Let J be an almost complex structure of M tamed by \omega and p be a point of M. Does there exists a J-holomorphic curve in the class of A which pass through p? Therefore, if I can find a non-zero one-point genus-zero Gromov-Witten invariant I believe I can giva a positiva answer to my question. Thank you | |
Dec 25, 2012 at 22:21 | comment | added | Jason Starr | What kind of answer are you looking for? There is a classification of irreducible, compact Hermitian symmetric spaces. There is also a theorem of Kollár and Ruan that guarantees the existence of a nonzero, one-point Gromov-Witten invariant. In principle, you could go through the list and find nonzero Gromov-Witten invariants in each case (simplified by the many results of experts such as Buch-Kresch-Tamvakis on GW theory of homogeneous spaces). Is that what you want? | |
Dec 25, 2012 at 0:42 | answer | added | Dmitri Panov | timeline score: 2 | |
Dec 24, 2012 at 23:30 | history | asked | Andrea Loi | CC BY-SA 3.0 |