论文标题
镜头空间中的接触映射班级组和理性的开来
The contact mapping class group and rational unknots in lens spaces
论文作者
论文摘要
我们确定镜头空间上标准接触结构的接触映射类组。为了证明主要结果,我们使用单参数凸表面理论来对镜头空间的任何紧密接触结构进行分类,直至legendrian和横向同位素。
We determine the contact mapping class group of the standard contact structures on lens spaces. To prove the main result, we use the one-parametric convex surface theory to classify Legendrian and transverse rational unknots in any tight contact structure on lens spaces up to Legendrian and transverse isotopy.