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arXiv · 1502.03277

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

Yuan-Pin Lee·Hui-Wen Lin·Chin-Lung Wang
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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. 2015-02-11. Towards $A + B$ theory in conifold transitions for Calabi-Yau threefolds. https://arxiv.org/abs/1502.03277

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