On the Genus-One Gromov-Witten Invariants of a Quintic Threefold
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چکیده
We rederive a relation between the genus-one GW-invariants of a quintic threefold in P and the genus-zero and genus-one GW-invariants of P. In contrast to the more general derivation in our previous paper, the present derivation relies on a widely believed, but still unproven, statement concerning rigidity of holomorphic curves in Calabi-Yau threefolds. On the other hand, this paper’s derivation is more direct and geometric. It requires a bit more effort, but relies on less outside work.
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تاریخ انتشار 2005