Excellent 1-manifolds in compact 3-manifolds

DOI10.1016/0166-8641(93)90038-FzbMath0786.57006MaRDI QIDQ685905

Juan-Miguel Gracia

Publication date: 5 May 1994

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

knotboundary irreducible, anannular Haken 3-manifoldsexcellent arcexcellent knotHeegaard genus 1homotopic to an excellent 1-manifoldhyperbolic complementnonorientable compact 3-manifold

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items (28)

Excellent non-orientable spanning surfaces with distinct boundary slopes ⋮ HOMOLOGICALLY PERIPHERAL HYPERBOLIC LINKS WHICH ARE NOT PARTIALLY PERIPHERAL ⋮ UNCOUNTABLY MANY ARCS IN S³WHOSE COMPLEMENTS HAVE NON-ISOMORPHIC, INDECOMPOSABLE FUNDAMENTAL GROUPS ⋮ SPATIAL GRAPH EXTERIORS REALIZING GIVEN JSJ DECOMPOSITION GRAPHS ⋮ Skinning maps ⋮ Totally geodesic boundaries of knot complements ⋮ Every finite group action on a compact 3-manifold preserves infinitely many hyperbolic spatial graphs ⋮ Hyperbolic rotations about links in 3-manifolds ⋮ Exceptional surgeries in 3-manifolds ⋮ Ribbon homology cobordisms ⋮ Symmetries of hyperbolic spatial graphs and realization of graph symmetries ⋮ Prime amphicheiral knots with free period 2 ⋮ Involutions of hyperbolic spatial graph exteriors whose fixed point sets are closed surfaces ⋮ Geometric limits of knot complements. II: Graphs determined by their complements ⋮ KNOTTED SEIFERT SURFACES AND UNKNOTTED SEIFERT SURFACES ⋮ Hyperbolic spatial graphs in 3-manifolds ⋮ Minimally knotted spatial graphs are totally knotted ⋮ Cyclically symmetric hyperbolic spatial graphs in 3-manifolds ⋮ Concordance of Seifert surfaces ⋮ Casson-Walker invariants of cyclic covers branched along satellite knots ⋮ KNOTS THAT HAVE MORE THAN TWO ACCIDENTAL SLOPES ⋮ Local cut points and splittings of relatively hyperbolic groups ⋮ The Big Dehn Surgery Graph and the link of 𝑆³ ⋮ Hyperbolic isometries versus symmetries of links ⋮ COMPRESSIBLE SUTURED MANIFOLDS WHICH YIELD PRODUCTS ⋮ A Cantor set with hyperbolic complement ⋮ RIGIDLY ACHIRAL HYPERBOLIC SPATIAL GRAPHS IN 3-MANIFOLDS ⋮ All roots of unity are detected by the A-polynomial

Cites Work

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• Compact Submanifolds of 3-Manifolds

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