由保持链的辛同态定义的辫类型的稳定性
辛几何
2024-01-10 v2 几何拓扑
摘要
在圆盘上固定一条合适的链。近来，F. Morabito将每个保持该链的哈密顿辛同态关联到一个辫类型。基于此构造，Morabito利用Hofer度量在辫群上定义了一族伪度量。本文中，我们证明两个哈密顿辛同态只要其Hofer距离足够小，便定义相同的辫类型。作为推论，Morabito所定义的伪度量是非退化的。
引用
@article{arxiv.2309.03845,
title = {Stability of the braid types defined by the symplecticmorphisms preserving a link},
author = {Guanheng Chen},
journal= {arXiv preprint arXiv:2309.03845},
year = {2024}
}
备注
Add two remarks; fix typos; minor changes in exposition. Comments are welcome!