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Genus-zero two-point hyperplane integrals in the Gromov–Witten theory

2009
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Communications in analysis and geometry
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In this paper, we compute certain two-point integrals over a moduli space of stable maps into projective space. Computation of onepoint analogs of these integrals constitutes a proof of mirror symmetry for genus-zero one-point Gromov-Witten (GW) 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

doi:10.4310/cag.2009.v17.n5.a4
fatcat:k5euvw5ksjbd7c2dunuwfvffgi