Standard vs. Reduced Genus-One Gromov-Witten Invariants
Aleksey Zinger
TL;DR
This paper provides an explicit formula for the difference between standard and reduced genus-one Gromov-Witten invariants, enabling computations of invariants for complete intersections and verifying mirror symmetry predictions.
Contribution
It introduces a formula for the difference between standard and reduced genus-one Gromov-Witten invariants, facilitating calculations for Calabi-Yau hypersurfaces.
Findings
Closed formula for genus-one GW-invariants of Calabi-Yau hypersurfaces
Verification of mirror symmetry prediction for sextic fourfold
Enhanced computational methods for 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.
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