On the existence of a global neighbourhood
On the existence of a global neighbourhood
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论全球邻域的存在
DOI：
10.1017/s0017089515000427
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Hiroshi Iritani
中科院分区：
文献类型：
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作者：
Tom Coates;Hiroshi Iritani
假设一个复流形M作为子流形局部嵌入到一个高维邻域中。我们表明，如果当地的邻里芽是兼容的，在一个适当的意义上，然后他们粘在一起，给一个全球的邻里M。作为应用，我们证明了一个全球版本的赫特林-马宁的展开定理的芽TEP结构，这在量子上同调的研究中有应用。
Suppose that a complex manifold M is locally embedded into a higher-dimensional neighbourhood as a submanifold. We show that, if the local neighbourhood germs are compatible in a suitable sense, then they glue together to give a global neighbourhood of M. As an application, we prove a global version of Hertling–Manin's unfolding theorem for germs of TEP structures; this has applications in the study of quantum cohomology.