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Timeline for difference of curve classes

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Oct 25, 2012 at 15:48 comment added Mark Gross Yes, they do. This Calabi-Yau is a small resolution of a (2,2,2,2) complete intersection in ${\bf P}^7$, and the curves in question are exceptional curves for this small resolution. Each such curve contributes $1$ to the Gromov-Witten invariants of its homology class.
Oct 25, 2012 at 14:59 comment added Mohammad Farajzadeh-Tehrani Thanks Mark, and do these two homology classes have non-trivial GW invariants? I am asking this just for curiosity.
Oct 25, 2012 at 4:59 history answered Mark Gross CC BY-SA 3.0