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Invariance of quantum rings under ordinary flops III: A quantum splitting principle

Yuan-Pin Lee U. Utah Hui-Wen Lin National Taiwan U. Feng Qu Beijing International Center for Math. Res. Chin-Lung Wang National Taiwan U.

mathscidoc:1610.01004

Distinguished Paper Award in 2017

Cambridge J. Math., 4, (3), 333-401, 2016
In this paper we prove the invariance of quantum rings for general ordinary flops, whose local models are certain non-split toric bundles over arbitrary smooth bases. An essential ingredient in the proof is a quantum splitting principle which reduces a statement in Gromov--Witten theory on non-split bundles to the case of split bundles.
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@inproceedings{yuan-pin2016invariance,
  title={Invariance of quantum rings under ordinary flops III: A quantum splitting principle},
  author={Yuan-Pin Lee, Hui-Wen Lin, Feng Qu, and Chin-Lung Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161003231409307027075},
  booktitle={Cambridge J. Math.},
  volume={4},
  number={3},
  pages={333-401},
  year={2016},
}
Yuan-Pin Lee, Hui-Wen Lin, Feng Qu, and Chin-Lung Wang. Invariance of quantum rings under ordinary flops III: A quantum splitting principle. 2016. Vol. 4. In Cambridge J. Math.. pp.333-401. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161003231409307027075.
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