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

Yuan-Pin Lee U. Utah Hui-Wen Lin National Taiwan U. Chin-Lung Wang National Taiwan U.

mathscidoc:1610.01006

Best Paper Award in 2018

J. Differential Geometry
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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@inproceedings{yuan-pintowards,
  title={Towards A + B theory in conifold transitions for Calabi--Yau threefolds},
  author={Yuan-Pin Lee, Hui-Wen Lin, and Chin-Lung Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161003234611769733078},
  booktitle={J. Differential Geometry},
}
Yuan-Pin Lee, Hui-Wen Lin, and Chin-Lung Wang. Towards A + B theory in conifold transitions for Calabi--Yau threefolds. In J. Differential Geometry. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161003234611769733078.
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