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arXiv 2202.04556math.SG
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凸端对柱面和辛叶的修改

Modification of Convex Ends to Cylindrical and Symplectic Foliations

Yoshihiko Mitsumatsu

摘要:

我们证明了复三变量中孤立奇点的Milnor纤维上的自然辛结构,其连接纤维在圆上可以修改为末端为圆柱形的。因此,我们看到,S^5上的余维1的叶理(它适用于与这样一个奇点相关联的S^5的米尔诺尔开书)具有叶向辛结构。这种修改也使我们能够构造某些闭辛4-流形。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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