Powell moves and the Goeritz group
Geometric Topology
2018-04-18 v1
Abstract
In 1980 J. Powell proposed that five specific elements sufficed to generate the Goeritz group of any Heegaard splitting of , extending work of Goeritz on genus splittings. Here we prove that Powell's conjecture was correct for splittings of genus as well, and discuss a framework for deciding the truth of the conjecture for higher genus splittings.
Cite
@article{arxiv.1804.05909,
title = {Powell moves and the Goeritz group},
author = {Michael Freedman and Martin Scharlemann},
journal= {arXiv preprint arXiv:1804.05909},
year = {2018}
}
Comments
39 pages; 17 figures