论文标题

凸的末端的修改为圆柱和符号叶子

Modification of Convex Ends to Cylindrical and Symplectic Foliations

论文作者

Mitsumatsu, Yoshihiko

论文摘要

我们表明,在复杂的三个变量中,孤立的奇异性的Milnor纤维上的自然符号结构可以将圆上的链纤维修改为圆柱形的圆柱形。结果,我们看到,S^5上的Codimension One的叶子适应了与这种奇异性相关的Milnor开放书,可以承认叶轮的互合结构。修改还使我们能够构建某些封闭的符号4个manifolds。

We show that the natural symplectic structure on the Milnor fiber of an isolated singularity in complex three variables whose link fibers over the circle can be modified into one which is cylindrical at the end. As a consequence we see that the foliation of codimension one on S^5 which is adapted to the Milnor open book of S^5 associated with such a singularity admits a leafwise symplectic structure. The modification also enables us to construct certain closed symplectic 4-manifolds.

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