%0 Journal Article %T Automorphisms of the 3-sphere that preserve a genus two Heegaard splitting %A Martin Scharlemann %J Mathematics %D 2003 %I arXiv %X 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.) %U http://arxiv.org/abs/math/0307231v1