Chekanov-Eliashberg 代数的持续性
辛几何
2020-09-28 v2 几何拓扑
摘要
我们将持久同调理论的条形码应用于 Legendrian 子流形的 Chekanov-Eliashberg 代数，以推导任意 Legendrian 子的位移能量界。我们不要求完整的 Chekanov-Eliashberg 代数容许一个 augmentation，因为我们仅在某一作用量水平以下对代数进行线性化。作为一个应用，我们证明不可能用容许 augmentation 的 Legendrian 子流形来 -逼近一个稳定化的 Legendrian 子流形。
引用
@article{arxiv.1810.10473,
title = {The persistence of the Chekanov-Eliashberg algebra},
author = {Georgios Dimitroglou Rizell and Michael G. Sullivan},
journal= {arXiv preprint arXiv:1810.10473},
year = {2020}
}
备注
29 pages, 4 figures; version accepted for publication in Selecta Mathematica. This is a major revision with many fixes and improvements. The constant in Theorem 1.1 has been improved. The theory of barcodes have been properly introduced in the new Section 2 together with new related terminology. The proof of Theorem 1.1 was rewritten in the new language and given a greater level of details