Quantum Cohomology under Birational Maps and Transitions

Yuan-Pin Lee Department of Mathematics, University of Utah, Salt Lake City, Ut., U.S.A. Hui-Wen Lin Department of Mathematics, National Taiwan University, Taipei 106 Chin-Lung Wang Department of Mathematics, National Taiwan University, Taipei 106

Algebraic Geometry mathscidoc:2204.45004

2017.5
This is an expanded version of the third author's lecture in String-Math 2015 at Sanya. It summarizes some of our works in quantum cohomology. After reviewing the quantum Lefschetz and quantum Leray--Hirsch, we discuss their applications to the functoriality properties under special smooth flops, flips and blow-ups. Finally, for conifold transitions of Calabi--Yau 3-folds, formulations for small resolutions (blow-ups along Weil divisors) are sketched.
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@inproceedings{yuan-pin2017quantum,
  title={Quantum Cohomology under Birational Maps and Transitions},
  author={Yuan-Pin Lee, Hui-Wen Lin, and Chin-Lung Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415105658041829022},
  year={2017},
}
Yuan-Pin Lee, Hui-Wen Lin, and Chin-Lung Wang. Quantum Cohomology under Birational Maps and Transitions. 2017. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415105658041829022.
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