论文标题
塞弗特纤维空间的单层因素化
Monodromy factorizations of Seifert fibered spaces
论文作者
论文摘要
我们在$ s_ {0,0}^n $的映射类中介绍了关系，边界平行曲折的产品与仅涉及非边界并行曲折的产品之间的关系。这些是特别感兴趣的，因为每个元素都给出了触点3个字符的开放式书籍分解，并且同一映射类别的不同因素化提供了潜在的不同符合性填充物，并具有差异界限。我们应用这些结果来计算由不同的因素化，量化的填充物的欧拉（Euler）特征，由边界平行曲折产物给出的填充物的目前管道图，并为欧拉（Euler）特征提供了鲜明的界限。
We present relations in the mapping class monoid of $S_{0,0}^n$ between products of boundary parallel twists and those involving only non boundary parallel twists. These are of particular interest because each element gives an open book decomposition of a contact 3-manifold, and different factorizations of the same mapping class give potentially distinct symplectic fillings with diffeomorphic boundaries. We apply these results in order to compute the Euler characteristics of fillings resulting from different factorizations, present plumbing graphs for the fillings given by products of boundary parallel twists, and provide sharp bounds on the Euler characteristics for fillings arising from such relations.
