On the contact mapping class group of Legendrian circle bundles
On the contact mapping class group of Legendrian circle bundles
复制标题
关于勒让德圆丛的接触映射类群
作者：
Emmanuel Giroux;P. Massot
本文确定了非正Euler特征的闭曲面上Legendrian圆丛的切触变换模切触合迹群。这些结果扩展并纠正了第一作者在以前的工作中提出的结果。我们使用的主要成分是连通性的某些空间的嵌入表面接触3流形。这个连通性问题本身也被研究了一些（希望有指导意义的）例子。
In this paper, we determine the group of contact transformations modulo contact isotopies for Legendrian circle bundles over closed surfaces of non-positive Euler characteristic. These results extend and correct those presented by the first author in a former work. The main ingredient we use is connectedness of certain spaces of embeddings of surfaces into contact 3-manifolds. This connectedness question is also studied for itself with a number of (hopefully instructive) examples.
DOI：
10.4310/mrl.2014.v21.n6.a3
发表时间：
2014
期刊：
arXiv: Symplectic Geometry
影响因子：
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作者：
H. Geiges;M. Klukas
通讯作者：
M. Klukas