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November 2018 Towards $A+B$ theory in conifold transitions for Calabi–Yau threefolds
Yuan-Pin Lee, Hui-Wen Lin, Chin-Lung Wang
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J. Differential Geom. 110(3): 495-541 (November 2018). DOI: 10.4310/jdg/1542423628

Abstract

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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Yuan-Pin Lee. Hui-Wen Lin. Chin-Lung Wang. "Towards $A+B$ theory in conifold transitions for Calabi–Yau threefolds." J. Differential Geom. 110 (3) 495 - 541, November 2018. https://doi.org/10.4310/jdg/1542423628

Information

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

zbMATH: 06982218
MathSciNet: MR3880232
Digital Object Identifier: 10.4310/jdg/1542423628

Rights: Copyright © 2018 Lehigh University

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Vol.110 • No. 3 • November 2018
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