One Powell generator is redundant
Geometric Topology
2019-08-02 v1
Abstract
In 1980 J. Powell proposed that five specific elements sufficed to generate the Goeritz group of any Heegaard splitting of . This conjecture remains unresolved for genus . Here a short argument shows that one of his proposed generators is redundant, in fact a consequence of three of the other four.
Cite
@article{arxiv.1908.00479,
title = {One Powell generator is redundant},
author = {Martin Scharlemann},
journal= {arXiv preprint arXiv:1908.00479},
year = {2019}
}
Comments
4 pages, 3 figures