Generating the Goeritz group of
arXiv:2011.10613
Abstract
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.
v.4 contains minor clarifications throughout. To appear in Journal of the Association for Mathematical Research