Automorphisms of the 3-sphere that preserve a genus two Heegaard splitting

Details Automorphisms of the 3-sphere that preserve a genus two Heegaard splitting Automorphisms of the 3-sphere that preserve a genus two Heegaard splitting

2003-07-16

arxiv.org/abs/math/0307231v1

Mathematics

Geometric Topology

13 pages, 10 figures

Scientific paper

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.)

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