Lagrangian two-spheres can be symplectically knotted
微分几何
2016-09-07 v2
摘要
This paper shows that there are symplectic four-manifolds M with the following property: a single isotopy class of smooth embedded two-spheres in M contains infinitely many Lagrangian submanifolds, no two of which are isotopic as Lagrangian submanifolds. The examples are constructed using a special class of symplectic automorphisms ("generalized Dehn twists"). The proof uses Floer homology. Revised version: one footnote removed, one reference added
引用
@article{arxiv.math/9803083,
title = {Lagrangian two-spheres can be symplectically knotted},
author = {Paul Seidel},
journal= {arXiv preprint arXiv:math/9803083},
year = {2016}
}
备注
22 pages, LaTex2e