Generating the genus g+1 Goeritz group of a genus g handlebody
Geometric Topology
2011-08-24 v1
Abstract
A specific set of 4g+1 elements is shown to generate the Goeritz group of the genus g+1 Heegaard splitting of a genus g handlebody. These generators are consistent with Powell's proposed generating set for the Goeritz group of the genus g+1 splitting of S^3. There are two proofs: one using purely classical techniques and one using thin position.
Cite
@article{arxiv.1108.4671,
title = {Generating the genus g+1 Goeritz group of a genus g handlebody},
author = {Martin Scharlemann},
journal= {arXiv preprint arXiv:1108.4671},
year = {2011}
}
Comments
27 pages, 8 figures