论文标题
生成$ s^3 $的Goeritz Group
Generating the Goeritz group of $S^3$
论文作者
论文摘要
1980年，鲍威尔（J. Powell）\ cite {po}提出，五个特定要素足以生成戈里兹组，以供任何三个角度分裂的任何属。在这里，我们证明了鲍威尔提出的发电机的自然扩展，包括所有眼镜的曲折，以及鲍威尔发电机的所有拓扑结合物都足够了。
In 1980 J. Powell \cite{Po} proposed that five specific elements sufficed to generate the Goeritz group for any genus Heegaard splitting of the 3-sphere. Here we prove that a natural expansion of Powell's proposed generators, to include all eyeglass twists and all topological conjugates of Powell's generators does suffice.
