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

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dc.creatorScharlemann, Martin
dc.date2003-07-16
dc.date.accessioned2026-07-07T04:59:42Z
dc.date.available2026-07-07T04:59:42Z
dc.descriptionAn 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.)
dc.description13 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/math/0307231
dc.identifierhttp://arxiv.org/abs/math/0307231
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68095
dc.subjectGeometric Topology
dc.subject57N12
dc.titleAutomorphisms of the 3-sphere that preserve a genus two Heegaard splitting
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