A note on exact Lagrangian cobordisms with disconnected Legendrian ends
A note on exact Lagrangian cobordisms with disconnected Legendrian ends
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关于具有断开的勒让德末端的精确拉格朗日配边的注释
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Baptiste Chantraine
中科院分区：
文献类型：
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作者：
Baptiste Chantraine
我们在本说明中提供了两个相关的例子拉格朗日配边。第一个给出了一个例子，两个确切的拉格朗日子流形，不能组成一个确切的方式。第二个是一个例子，一个确切的拉格朗日配边论上的所有原始的刘维形式是不恒定的负端，使积极的结束是一个稳定，而负端承认增广。这些例子强调了[6]中精确拉格朗日配边定义的第（i）点。为了提供这样的例子，我们构造拉格朗日浸入与单双点使用一个明确的模型和解释这种拉格朗日协边从Hopf链接。
We provide in this note two relevant examples of Lagrangian cobordisms. The first one gives an example of two exact Lagrangian submanifolds which cannot be composed in an exact fashion. The second one is an example of an exact Lagrangian cobordism on which all primitive of the Liouville form is not constant on the negative end and such that the positive end is a stabilisation whereas the negative end admits augmentations. These examples emphasise point (i) of the definition of exact Lagrangian cobordisms in [6]. In order to provide such examples we construct Lagrangian immersions with single double points using an explicit model and interpret such Lagrangians as cobordisms from the Hopf link.