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Invariance of quantum rings under ordinary flops: III

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 Feng Qu International Center for Mathematical Research (BICMR), Beijing (Peking) University, Beijing 100871, PR China Chin-Lung Wang Center for Advanced Study in Theoretical Sciences, National Taiwan University, Taipei 106

Algebraic Geometry mathscidoc:2204.45009

2014.1
The paper is Part III of our ongoing project to study a case of Crepant Transformation Conjecture: K-equivalence Conjecture for ordinary flops. 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 base. 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-pin2014invariance,
  title={Invariance of quantum rings under ordinary flops: III},
  author={Yuan-Pin Lee, Hui-Wen Lin, Feng Qu, and Chin-Lung Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415111246422731027},
  year={2014},
}
Yuan-Pin Lee, Hui-Wen Lin, Feng Qu, and Chin-Lung Wang. Invariance of quantum rings under ordinary flops: III. 2014. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415111246422731027.
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