Genus-Zero Two-Point Hyperplane Integrals in the Gromov-Witten Theory

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dc.creatorZinger, Aleksey
dc.date2007-05-18
dc.date2007-08-02
dc.date.accessioned2026-07-07T08:21:37Z
dc.date.available2026-07-07T08:21:37Z
dc.descriptionIn this paper we compute certain two-point integrals over a moduli space of stable maps into projective space. Computation of one-point analogues of these integrals constitutes a proof of mirror symmetry for genus-zero one-point Gromov-Witten invariants of projective hypersurfaces. The integrals computed in this paper constitute a significant portion in the proof of mirror symmetry for genus-one GW-invariants completed in a separate paper. These integrals also provide explicit mirror formulas for genus-zero two-point GW-invariants of projective hypersurfaces. The approach described in this paper leads to a reconstruction algorithm for all genus-zero GW-invariants of projective hypersurfaces.
dc.descriptiona number of changes to the introduction; 32 pages, 4 figures, 1 table
dc.identifierhttps://arxiv.org/abs/0705.2725
dc.identifierhttp://arxiv.org/abs/0705.2725
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135380
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject14N35, 53D45
dc.titleGenus-Zero Two-Point Hyperplane Integrals in the Gromov-Witten Theory
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