Describing elements of the genus-2 Goeritz group of $S^3$
Geometric Topology
2019-12-20 v1
Abstract
In this article we present a finite generating set of , the genus-2 Goeritz group of , in terms of Dehn twists about certain simple closed curves on the standard Heegaard surface. We present an algorithm that describes an element as a word in the alphabet of in a certain format. Using a complexity measure defined on reducing spheres, we show that such a description of is unique.
Keywords
Cite
@article{arxiv.1912.08894,
title = {Describing elements of the genus-2 Goeritz group of $S^3$},
author = {Sreekrishna Palaparthi and Swapnendu Panda},
journal= {arXiv preprint arXiv:1912.08894},
year = {2019}
}