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

Yuan-Pin Lee Department of Mathematics, University of Utah, Salt Lake City, Utah, 84112 Hui-Wen Lin Taida Institute of Mathematical Sciences (TIMS), National Taiwan University, Taipei 106 Chin-Lung Wang Taida Institute of Mathematical Sciences (TIMS), National Taiwan University, Taipei 106

Algebraic Geometry mathscidoc:2204.45007

2015.2
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-pin2015towards,
  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/20220415110802190263025},
  year={2015},
}
Yuan-Pin Lee, Hui-Wen Lin, and Chin-Lung Wang. Towards A+B theory in conifold transitions for Calabi-Yau threefolds. 2015. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415110802190263025.
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