Lagrangian cobordisms via generating families: Construction and geography
Lagrangian cobordisms via generating families: Construction and geography
复制标题
通过生成族的拉格朗日配边：构造和地理学
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
L. Traynor
中科院分区：
文献类型：
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作者：
F. Bourgeois;J. Sabloff;L. Traynor
勒让德子流形之间的嵌入式拉格朗日配边是通过同位素、旋转和手柄连接结构产生的，这些结构采用了生成族技术。此外，任何具有生成族的勒格朗日都具有具有兼容生成族的浸没拉格朗日填充。这些构造应用于多个方向，特别是非经典地理问题：满足对偶条件的任何分级群都可以实现为 R 2nC1 或 1-jet 中连通的勒让德子流形的生成族同调性
Embedded Lagrangian cobordisms between Legendrian submanifolds are produced by isotopy, spinning, and handle-attachment constructions that employ the technique of generating families. Moreover, any Legendrian with a generating family has an immersed Lagrangian filling with a compatible generating family. These constructions are applied in several directions, in particular to a nonclassical geography question: any graded group satisfying a duality condition can be realized as the generating family homology of a connected Legendrian submanifold in R 2nC1 or in the 1‐jet