Lagrangian two-spheres can be symplectically knotted
Lagrangian two-spheres can be symplectically knotted
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拉格朗日二球体可以辛结
DOI：
10.4310/jdg/1214425219
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发表时间：
1998
影响因子：
2.5
通讯作者：
P. Seidel
中科院分区：
文献类型：
--
作者：
P. Seidel
本文证明了存在辛四流形M，M具有以下性质：M中的光滑嵌入双球面的一个合痕类包含无穷多个Lagrange子流形，其中没有两个Lagrange子流形是合痕的.这些例子是使用一类特殊的辛自同构（“广义德恩扭曲”）构造的。证明使用Floer同调。
修订版本：删除一个脚注，增加一个参考资料
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