中文

爆破的量子上同调

代数几何 2025-02-05 v3 辛几何

摘要

我们证明了光滑射影簇 X 沿光滑子簇 Z 的爆破的量子上同调 D-模的一个分解定理。我们使用的主要工具是等变量子上同调的平移算子与傅里叶分析。

关键词

引用

@article{arxiv.2307.13555,
  title  = {Quantum cohomology of blowups},
  author = {Hiroshi Iritani},
  journal= {arXiv preprint arXiv:2307.13555},
  year   = {2025}
}

备注

69 pages, 5 figures, v2: corrected minor errors and added Appendix B, v3: major revision; the main result has been strengthened by eliminating the variables x and y; the initial condition for the decomposition has been clarified; a discussion on the well-definedness of the pullbacks of quantum D-modules has been added