Journal of Differential Geometry

Towards $A+B$ theory in conifold transitions for Calabi–Yau threefolds

Yuan-Pin Lee, Hui-Wen Lin, and Chin-Lung Wang

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For projective conifold transitions between Calabi–Yau threefolds $X$ and $Y$, with $X$ close to $Y$ in the moduli, we show that the combined information provided by the $A$ model (Gromov–Witten theory in all genera) and $B$ model (variation of Hodge structures) on $X$, linked along the vanishing cycles, determines the corresponding combined information on $Y$. Similar result holds in the reverse direction when linked with the exceptional curves.

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J. Differential Geom., Volume 110, Number 3 (2018), 495-541.

Received: 23 December 2015
First available in Project Euclid: 17 November 2018

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Lee, Yuan-Pin; Lin, Hui-Wen; Wang, Chin-Lung. Towards $A+B$ theory in conifold transitions for Calabi–Yau threefolds. J. Differential Geom. 110 (2018), no. 3, 495--541. doi:10.4310/jdg/1542423628.

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