NON-ISOTOPIC LEGENDRIAN SUBMANIFOLDS IN R
NON-ISOTOPIC LEGENDRIAN SUBMANIFOLDS IN R
复制标题
R 中的非同位素勒让德子流形
DOI：
--
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
M. Sullivan
中科院分区：
文献类型：
--
作者：
T. Ekholm;John B. Etnyre;M. Sullivan
在标准切触（2n+1）-空间中，当n > 1时，利用经典不变量构造了两两非Legendrian同位素、Legendrian n-球面、n-环面和曲面的无限族.当n是偶数时，这些是第一个已知的非勒让德同位素的例子，勒让德子流形的（2n + 1）-空间。这样的结构表明了勒让德子流形的丰富理论。为了区分我们的例子，我们计算了它们的接触同调，这在[7]中是严格定义的。
In the standard contact (2n+1)-space when n > 1, we construct infinite families of pairwise non-Legendrian isotopic, Legendrian n-spheres, n-tori and surfaces which are indistinguishable using classically known invariants. When n is even these are the first known examples of non-Legendrian isotopic, Legendrian submanifolds of (2n + 1)-space. Such constructions indicate a rich theory of Legendrian submanifolds. To distinguish our examples we compute their contact homology which was rigorously defined in this situation in [7].