关于 Lie 诱导体、奇异叶绸剖分与 Dirac 结构的拉回与 blowup
微分几何
2025-11-18 v3 辛几何
摘要
Lie 诱导体、奇异叶绸剖分与 Dirac 结构密切相关。我们检讨它们在满足常数秩或横截性假设的映射下的拉回关系。特殊情况下，涉及 blowdown 映射。我们也在此情形下建立了 Lie 诱导体及其奇异叶绸剖分的 blowup 之间的关系。
引用
@article{arxiv.2509.03698,
title = {A note on pullbacks and blowups of Lie algebroids, singular foliations, and Dirac structures},
author = {Andreas Schüßler and Marco Zambon},
journal= {arXiv preprint arXiv:2509.03698},
year = {2025}
}
备注
v3: Lemma 3.2, which had no consequences for the rest of the paper, was removed because incorrect. 11 pages