柄体中单边界的分离的不可压缩曲面

A Separating Incompressible Surface in Hardlebody

本文证明了在H_2中存在任意大亏格的单边界的分离的不可压缩曲面,回答了Jaco在[1]中提出的问题。

The present paper proves that there are incompressible separating surfaces with one boundary component and sufficently large genus, on which we give a complete answer of Jaco's question in [1].