论文标题
描绘冠图中的广义移动移动
Depicting a generalized shift move in crown diagrams
论文作者
论文摘要
本文提供了一种图表的方式,可以在光滑的4个manifold的皇冠图上执行广义移动。应用程序包括一个简化的证据,即如果两个冠状图通过广义移动相关,则它们是幻灯片等效的;一种将g> 1 lefschetz纤维属转换为冠图的方法;这种冠图的消失循环的幻灯片与标准包含Lefschetz消失的循环纳入G + 1属的表面相当。
This paper gives a diagrammatic way to perform a generalized shift move on a crown diagram of a smooth 4-manifold. Applications include a simplified proof that if two crown diagrams are related by a generalized shift move, then they are slide-equivalent; a method for converting a genus g > 1 Lefschetz fibration into a crown diagram; and the fact that the vanishing cycles of such a crown diagram are slide-equivalent to a standard inclusion of the Lefschetz vanishing cycles into a genus g + 1 surface.