Automorphisms of the three-torus preserving a genus three Heegaard splitting
Geometric Topology
2007-08-21 v1
Abstract
The mapping class group of a Heegaard splitting is the group of connected components in the set of automorphisms of the ambient manifold that map the Heegaard surface onto itself. For the genus three Heegaard splitting of the 3-torus, we find an eight element generating set for this group. Six of these generators induce generating elements of the mapping class group of the 3-torus and the remaining two are isotopy trivial in the 3-torus.
Keywords
Cite
@article{arxiv.0708.2683,
title = {Automorphisms of the three-torus preserving a genus three Heegaard splitting},
author = {Jesse Johnson},
journal= {arXiv preprint arXiv:0708.2683},
year = {2007}
}
Comments
21 pages, 7 figures