Automorphisms of the 3-sphere that preserve a genus two Heegaard splitting
Geometric Topology
2007-05-23 v1
Abstract
An updated proof of a 1933 theorem of Goeritz, exhibiting a finite set of generators for the group of automorphisms of the 3-sphere that preserve a genus two Heegaard splitting. The group is analyzed via its action on a certain connected 2-complex. (The analogous problem for higher genus Heegaard splittings appears to remain unresolved.)
Cite
@article{arxiv.math/0307231,
title = {Automorphisms of the 3-sphere that preserve a genus two Heegaard splitting},
author = {Martin Scharlemann},
journal= {arXiv preprint arXiv:math/0307231},
year = {2007}
}
Comments
13 pages, 10 figures