Standard vs. Reduced Genus-One Gromov-Witten Invariants

Abstract

We give an explicit formula for the difference between the standard and reduced genus-one Gromov-Witten invariants. Combined with previous work on geometric properties of the latter, this paper makes it possible to compute the standard genus-one GW-invariants of complete intersections. In particular, we obtain a closed formula for the genus-one GW-invariants of a Calabi-Yau projective hypersurface and verify a recent mirror symmetry prediction for a sextic fourfold as a special case.

a number of minor corrections; 31 pages, 4 figures

References in corpus (1)

• A Desingularization of the Main Component of the Moduli Space of Genus-One Stable Maps into ${\mathbb{P}}^n$

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