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.
"Standard versus reduced genus-one Gromov–Witten invariants." Geom. Topol. 12 (2) 1203 - 1241, 2008. https://doi.org/10.2140/gt.2008.12.1203