Gromov-Witten Invariants of Calabi-Yau Manifolds With Two Kahler Parameters
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2021-05
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Journal Article
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yes
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Abstract
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.
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2021 (10)
Pages / Article No.
7552 - 7596
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Oxford University Press
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It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.
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786580 - Moduli, algebraic cycles, and integration (EC)