Standard versus reduced genus-one Gromov–Witten invariants

Zinger, Aleksey¹

¹ Department of Mathematics, SUNY Stony Brook, Stony Brook, NY 11794-3651, USA

Geometry & topology, Tome 12 (2008) no. 2, pp. 1203-1241.

Résumé

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.

Détail

DOI : 10.2140/gt.2008.12.1203

Keywords: Gromov–Witten invariants, mirror symmetry

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