Roots of 3-manifolds and cobordisms

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dc.creatorHog-Angeloni, C.
dc.creatorMatveev, S.
dc.date2005-04-11
dc.date.accessioned2026-07-07T05:19:00Z
dc.date.available2026-07-07T05:19:00Z
dc.descriptionGiven a set of simplifying moves on 3-manifolds, we apply them to a given 3-manifold M as long as possible. What we get is a root of M. For us, it makes sense to consider three types of moves: compressions along 2-spheres, proper discs and proper annuli having boundary circles in different components of the boundary of M. Our main result is that for the above moves the root of any 3-manifold exists and is unique. The same result remains true if instead of manifolds we apply the moves to 3-cobordisms.
dc.description11 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0504223
dc.identifierhttp://arxiv.org/abs/math/0504223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74861
dc.subjectGeometric Topology
dc.subject57M27
dc.titleRoots of 3-manifolds and cobordisms
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