低面积Floer理论与不可位移性
辛几何
2019-07-01 v3
摘要
我们引入了一种非单调拉格朗日子流形的Floer理论的新版本，其仅使用以其为边界的最小面积全纯圆盘。我们利用该理论证明了关于复射影平面及其他del Pezzo曲面中拉格朗日环面连续族的不可位移性定理。
引用
@article{arxiv.1511.00891,
title = {Low-area Floer theory and non-displaceability},
author = {Dmitry Tonkonog and Renato Vianna},
journal= {arXiv preprint arXiv:1511.00891},
year = {2019}
}
备注
32 pages, 9 figures; v2: major improvements, added a new result concerning del Pezzos, corrected some mistakes; v3: explained transversality for annuli, commented on higher dimensions; accepted version