Algebraic and geometric solutions of hyperbolic Dehn filling equations

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dc.creatorFrancaviglia, S.
dc.date2003-05-05
dc.date.accessioned2026-07-07T04:57:46Z
dc.date.available2026-07-07T04:57:46Z
dc.descriptionIn this paper we study the difference between algebraic and geometric solutions of the hyperbolic Dehn filling equations for ideally triangulated 3-manifolds. We show that any geometric solution is an algebraic one, and we prove the uniqueness of the geometric solutions. Then we do explicit calculations for three interesting examples. With the first two examples we see that not all algebraic solutions are geometric and that the algebraic solutions are not unique. The third example is a non-hyperbolic manifold that admits a positive, partially flat solution of the compatibility and completeness equations.
dc.description31 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/math/0305077
dc.identifierhttp://arxiv.org/abs/math/0305077
dc.identifierA modified version is published: Topology and its Applications, 145(1-3):91--118, 2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67375
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57M50
dc.titleAlgebraic and geometric solutions of hyperbolic Dehn filling equations
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