拉格朗日余纬上生成族的存在性
辛几何
2024-06-18 v3 几何拓扑
摘要
对于 1- jet 丛中 Legendrian 子流形之间的嵌入精确拉格朗日余纬,我们证明:在负端 Legendrian 上在无穷远处线性的生成族,在经过稳定化后可扩张为在拉格朗日余纬上在无穷远处线性的生成族,当且仅当形式阻碍消失。特别地,具有平凡稳定拉格朗日高斯映射的拉格朗日填充容许一个在无穷远处线性的生成族。
引用
@article{arxiv.2308.05727,
title = {Existence of generating families on Lagrangian cobordisms},
author = {Wenyuan Li},
journal= {arXiv preprint arXiv:2308.05727},
year = {2024}
}
备注
18 pages, 2 figure. Comments are welcome! v2: correction on Def 1.3. v3: major revisions; correction on Def 1.3 & 2.3, Lem 2.11 & 2.12 (previous Lem 2.10), revisions on Thm 2.16 (previous Thm 2.15), and expository revisions in Sec 2.1 & 2.4. To appear in Math. Ann