论文标题
关于原始磁盘复合物的注释
Note on primitive disk complexes
论文作者
论文摘要
鉴于$ 3 $ -SPHERE的Heegaard分裂，原始磁盘复合体被定义为磁盘综合体的完整子复合物，用于拆分的手柄之一。当分裂的属大于三个时，是否连接原始磁盘复合物是一个空旷的问题。在本说明中，我们证明了原始磁盘复合物（称为同型原始磁盘复合物）的商。
Given a Heegaard splitting of the $3$-sphere, the primitive disk complex is defined to be the full subcomplex of the disk complex for one of the handlebodies of the splitting. It is an open question whether the primitive disk complex is connected or not when the genus of the splitting is greater than three. In this note, we prove that a quotient of the primitive disk complex, called the homotopy primitive disk complex, is connected.
