Automorphisms of the three-torus preserving a genus three Heegaard splitting

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dc.creatorJohnson, Jesse
dc.date2007-08-20
dc.date.accessioned2026-07-07T08:24:25Z
dc.date.available2026-07-07T08:24:25Z
dc.descriptionThe 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.
dc.description21 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0708.2683
dc.identifierhttp://arxiv.org/abs/0708.2683
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136330
dc.subjectGeometric Topology
dc.subject57M
dc.titleAutomorphisms of the three-torus preserving a genus three Heegaard splitting
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