- Journal Article
We study the Gromov–Witten theory of Kℙ1×ℙ1 and some Calabi–Yau hypersurfaces in toric varieties. We give a direct geometric proof of the holomorphic anomaly equation for Kℙ1×ℙ1 in the form predicted by B-model physics. We also calculate the closed formula of genus one quasimap invariants of Calabi–Yau hypersurfaces in ℙm−1×ℙn−1 after restricting the 2nd Kähler parameter to zero. By the wall-crossing theorem between Gromov–Witten and quasimap invariants, we thus obtain their genus one Gromov–Witten invariants. Show more
Journal / seriesInternational Mathematics Research Notices
Pages / Article No.
PublisherOxford University Press
786580 - Moduli, algebraic cycles, and integration (EC)
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