拉格朗日子流形的Reeb弦
辛几何
2021-08-03 v2
摘要
在这篇短注中我们观察到，在次临界Weinstein域 中适当嵌入的紧致精确拉格朗日子流形的边界必然存在Reeb弦。该Reeb弦的存在性要么源于边界形变为某个Legendrian子流形上的柱面的阻碍，要么源于一旦该边界被“加领”则拉格朗日的包裹Floer同调消失这一事实。
引用
@article{arxiv.2106.05675,
title = {Reeb chords of Lagrangian slices},
author = {Baptiste Chantraine},
journal= {arXiv preprint arXiv:2106.05675},
year = {2021}
}
备注
v2: incorporated some referee comments which expand exposition, section 4 is now section 2. To appear in the Journal of fixed point theory and applications, Viterbo's 60th anniversary edition