11/19/2004

Aleksey Zinger
Stanford University

On the Genus-One Gromov-Witten Invariants
of Complete Intersection Threefolds

I will describe a formula relating the genus-one Gromov-Witten invariants of a projective complete intersection threefold to the GW-invariants of the ambient projective space. Along with a separate desingularization result, this formula allows one to compute the genus-one GW-invariants of such threefolds. It might be possible to use this formula to verify the genus-one mirror symmetry prediction for curves in Calabi-Yau threefolds.