Motivic and quantum invariance under stratified mukai flops

Baohua Fu Chinese Academy of Science Chin-Lung Wang Dept. of Math., National Central University

Differential Geometry mathscidoc:1609.10081

Journal of Differential Geometry, 80, (2), 261-280, 2008
For stratified Mukai flops of type An,k,D2k+1 and E6,I , it is shown that the fiber product induces isomorphisms on Chow motives. In contrast to (standard) Mukai flops, the cup product is generally not preserved. For An,2, D5 and E6,I flops, quantum corrections are found through degeneration/deformation to ordinary flops.
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@inproceedings{baohua2008motivic,
  title={MOTIVIC AND QUANTUM INVARIANCE UNDER STRATIFIED MUKAI FLOPS},
  author={Baohua Fu, and Chin-Lung Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160909135417168650738},
  booktitle={Journal of Differential Geometry},
  volume={80},
  number={2},
  pages={261-280},
  year={2008},
}
Baohua Fu, and Chin-Lung Wang. MOTIVIC AND QUANTUM INVARIANCE UNDER STRATIFIED MUKAI FLOPS. 2008. Vol. 80. In Journal of Differential Geometry. pp.261-280. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160909135417168650738.
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