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arXiv 1607.08262math.SG
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在塑性材料上,有边Legendrian开卷和过扭曲的切触结构

On plastikstufe, bordered Legendrian open book and overtwisted contact structures

Yang Huang

摘要:

本文证明了嵌入塑性材料的存在意味着切触结构在任意维上的过扭性。此外,我们表明,在第5维的存在下,一个嵌入的边界勒让德打开书(bLob)也意味着过度扭曲。这些标准的应用,某些(接触)纤维连接和开放的书籍进行了讨论。

英文摘要:

In this paper we prove the presence of an embedded plastikstufe implies overtwistedness of the contact structure in any dimension. Moreover, we show in dimension 5 that the presence of an embedded bordered Legendrian open book (bLob) also implies overtwistedness. Applications of these criteria to certain (contact) fibered connected sums and open books are discussed.

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