Holomorphic Open Book Decompositions
Holomorphic Open Book Decompositions
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全纯开卷分解
DOI：
10.1215/00127094-1276301
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
Casim Abbas
中科院分区：
文献类型：
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作者：
Casim Abbas
Emmanuel Giroux证明了闭三维流形上的每一个切触结构都由一个开书分解支撑。我们将扩展这个结果表明，开卷分解可以选择这样一种方式，即页面是解决方案的同调扰动全纯曲线方程。
Emmanuel Giroux showed that every contact structure on a closed three dimensional manifold is supported by an open book decomposition. We will extend this result by showing that the open book decomposition can be chosen in such a way that the pages are solutions to a homologically perturbed Holomorphic Curve equation.