Describing elements of the genus-2 Goeritz group of $S^3$

Sreekrishna Palaparthi, Swapnendu Panda

In this article we present a finite generating set $G_2$ of ${\mathcal{H}}_2$, the genus-2 Goeritz group of $S^3$, in terms of Dehn twists about certain simple closed curves on the s…