A Presentation For The Automorphisms Of The 3-Sphere That Preserve A Genus Two Heegaard Splitting

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dc.creatorAkbas, Erol
dc.date2005-04-25
dc.date2006-10-24
dc.date.accessioned2026-07-07T06:39:50Z
dc.date.available2026-07-07T06:39:50Z
dc.descriptionScharlemann constructed a connected simplicial 2-complex $Γ$ with an action by the group ${\mathcal H_{2}}$ of isotopy classes of orientation preserving homeomorphisms of $S^3$ that preserve the isotopy class of an unknotted genus 2 handlebody $V$. In this paper we prove that the 2-complex $Γ$ is contractible. Therefore we get a finite presentation of ${\mathcal H_{2}}$.
dc.descriptionCompletely rewritten. 21 pages with 22 figures
dc.identifierhttps://arxiv.org/abs/math/0504519
dc.identifierhttp://arxiv.org/abs/math/0504519
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101228
dc.subjectGeometric Topology
dc.titleA Presentation For The Automorphisms Of The 3-Sphere That Preserve A Genus Two Heegaard Splitting
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