Hyperbolic Manifolds and Kleinian Groups

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Hyperbolic Geometry. Springer-Verlag, New York. Beardon, A. The Geometry of Discrete Groups. Graduate Texts in Mathematics Vol. Google Scholar. Thurston, W. The geometry and topology of three-manifolds. Notes from Princeton University. Three-Dimensional Geometry and Topology. Ratcliffe, J. Foundations of Hyperbolic Manifolds. Vinberg, E. Geometry II I. Encyclopaedia of Mathematical Sciences Vol. Springer-Verlag, Berlin.

Matsuzaki, K. Hyperbolic Manifolds and Kleinian Groups. Oxford University Press, Oxford. Maskit, B. Kleinian Groups. Harvey, W. Discrete Groups and Automorphic Functions. Academic Press, London. Elstrodt, J. Groups Acting on Hyperbolic Space. Maclachlan Generalised Fibonacci Manifolds. Jones Geodesic intersections in arithmetic hyperbolic 3-manifolds. Duke Math. Maclachlan Invariant trace-fields and quaternion algebras of polyhedral groups.

Long Simple quotients of hyperbolic 3-manifold groups. Long On Fuchsian groups with the same set of axes. Bulletin, 41 , — Long Infinite Coxeter groups are virtually indicable. Jones Minimal index torsion-free subgroups in Kleinian groups. Annalen , — Callahan Hyperbolic structures on knot complements. Chaos, Solitons and Fractals 9 , — Wang Non-Haken 3-manifolds are not large with respect to mappings of non-zero degree. Communications in Analysis and Geometry, 7 — With D.

Long Commensurability and the character variety, Math. Research Letters 6 , — Long On the geometric boundaries of hyperbolic 4-manifolds, Geometry and Topology, 4 , — Adams Systoles of hyperbolic 3-manifolds. Cambridge Philos. Jones Vol3 and other exceptional hyperbolic 3-manifolds, Proc. Long Constructing hyperbolic manifolds which bound geometrically, Math. Research Letters 8 , — Long On subgroup separability in hyperbolic Coxeter groups, Geometriae Dedicata, 87 , — Agol and D.

Long The Bianchi groups are separable on geometrically finite subgroups, Annals of Math. Chinburg, E. Friedman and K. Jones The smallest volume arithmetic hyperbolic 3-manifold, Annali della Scuola Normale Superiore di Pisa 30 , 1— Long All flat manifolds are cusps of hyperbolic orbifolds, Algebraic and Geometric Topology 2 , — Wang and Q. Zhou Generalized Hopfian property, a minimal Haken manifold and epimorphisms between 3-manifold groups, Acta Mathematica Sinica, English Series 18 , — Leininger The co-rank conjecture for 3-manifold groups, Algebraic and Geometric Topology 2 , 37— Baker Arithmetic knots in closed 3-manifolds, in Proceedings of Knots , J.

Knot Theory and its Ramifications 11 , — Long Integral points on character varieties, Math. Hamilton Eigenvalue fields of hyperbolic orbifolds, Proc.


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Gordon and D. Long Surface subgroups of Coxeter and Artin groups, J. Pure and Applied Algebra , — Long On asymmetric hyperbolic manifolds, Math. Pure and Applied Math. Maclachlan Arithmetic Fuchsian groups of genus zero. Pure and Applied Math Quarterly 2 , a special issue to celebrate the 60th birthday of Professor J. Coates, — Long On the virtual Betti numbers of arithmetic hyperbolic 3—manifolds, Geometry and Topology 11 — Long and A.

Lubotzky , Heegaard genus and Property for hyperbolic 3-manifolds, Journal of Topology 1 — Long Subgroup separability and virtual retractions of groups, Topology 47 , — Long Finding fibre faces in finite covers, Math Research Letters 15 , — Walsh Commensurability classes of 2-bridge knot complements, Algebraic and Geometric Topology 8 , — pdf With T.

Hamilton and D.

[] Bounded Cohomology of Finitely Generated Kleinian Groups

Long Geodesics and commensurability classes of arithmetic hyperbolic 3-manifolds, Duke Math. Leininger, D. McReynolds and W. Neumann Length and eigenvalue equivalence, International Math. Research Notices, volume , article ID rnm, 24 pages, doi Lackenby and D. Long Covering spaces of arithmetic 3-orbifolds, International Math.

Research Notices, volume , article ID rnn, 38 pages, doi: Chinburg and D. Long Cusps of minimal non-compact arithmetic hyperbolic 3-orbifolds, Pure and Applied Math Quarterly 4 , — A special issue to celebrate the 80 th birthday of Professor J-P. Maclachlan The arithmetic structure of tetrahedral groups of hyperbolic isometries.

Mathematika 36 , — A note on trace-fields of Kleinian groups. London Math. Arithmeticity of knot complements. Totally geodesic surfaces in hyperbolic 3-manifolds.

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Edinburgh Math. With W.

Neumann Amalgamation and the invariant trace-field of Kleinian groups. Maclachlan Parameterizing Fuchsian subgroups of Bianchi groups. Canadian J. Commensurability and isospectrality of arithmetic hyperbolic 2 and 3-manifolds. Duke Math J. Neumann Arithmetic of hyperbolic manifolds. De Gruyter Verlag , — Neumann Notes on Adams' small volume orbifolds.

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Menasco Totally geodesic surfaces in hyperbolic link complements. Some remarks on 2-generator hyperbolic 3-manifolds. Lecture Note Series , — Neumann Rigidity of cusps in deformations of hyperbolic 3-orbifolds. With D. Long Closed incompressible surfaces in 2-generator hyperbolic 3-manifolds with a single cusp.

With T. Chinburg Closed hyperbolic 3-manifolds whose closed geodesics all are simple.

Adams Quasi-Fuchsian surfaces in hyperbolic knot complements. Journal Australian Math. With K. Jones Non-simple closed geodesics in hyperbolic 3-manifolds.

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Kleinian Groups and Hyperbolic Manifolds 1

Cooper and D. Long Bundles and finite foliations. With B. Bowditch and C. Maclachlan Arithmetic hyperbolic surface bundles. Annalen , 31— A non-Haken hyperbolic 3-manifold covered by a surface bundle. Pacific J. Gordon Tangle decompositions of tunnel number one knots and links. Journal of Knot Theory and its Ramifications 4 , — Adams Unknotting tunnels in two-bridge knot and link complements.

Long and C. Maclachlan Splitting groups of signature 1;n. Algebra , — Anderson Commensurability of Fuchsian groups and their axes. Long Finite foliations and similarity interval exchange maps. Topology 36 , — Long Essential closed surfaces in bounded 3-manifolds. Journal of The American Math.

Gehring, C.

Volumes of Hyperbolic 3-Manifolds - David Gabai

Maclachlan and G. Martin Arithmeticity, Discreteness and Volume. Maclachlan Generalised Fibonacci Manifolds. Jones Geodesic intersections in arithmetic hyperbolic 3-manifolds. Duke Math. Maclachlan Invariant trace-fields and quaternion algebras of polyhedral groups.

Long Simple quotients of hyperbolic 3-manifold groups. Long On Fuchsian groups with the same set of axes.

Bulletin (New Series) of the American Mathematical Society

Bulletin, 41 , — Long Infinite Coxeter groups are virtually indicable. Jones Minimal index torsion-free subgroups in Kleinian groups. Annalen , — Callahan Hyperbolic structures on knot complements. Chaos, Solitons and Fractals 9 , —

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