Minimal surfaces in germs of hyperbolic 3--manifolds

dc.creatorTaubes, Clifford Henry
dc.date2004-10-13
dc.date.accessioned2026-07-07T05:13:16Z
dc.date.available2026-07-07T05:13:16Z
dc.descriptionThis article introduces a universal moduli space for the set whose archetypal element is a pair that consists of a metric and second fundamental form from a compact, oriented, positive genus minimal surface in some hyperbolic 3-manifold. This moduli space is a smooth, finite dimensional manifold with canonical maps to both the cotangent bundle of the Teichmueller space and the space of SO(3,C) representations for the given genus surface. These two maps embed the universal moduli space as a Lagrangian submanifold in the product of the latter two spaces.
dc.descriptionPublished by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon7/paper3.abs.html
dc.identifierhttps://arxiv.org/abs/math/0410326
dc.identifierhttp://arxiv.org/abs/math/0410326
dc.identifierGeom. Topol. Monogr. 7 (2004) 69-100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72883
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject53C42, 53A10, 53D30
dc.titleMinimal surfaces in germs of hyperbolic 3--manifolds
dc.typetext

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