The virtual Haken conjecture: Experiments and examples.
Dunfield, Nathan M., Thurston, William P. (2003)
Geometry & Topology
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Displaying similar documents to “The co-rank conjecture for 3-manifold groups.”
The virtual Haken conjecture: Experiments and examples.
Finiteness of classifying spaces of relative diffeomorphism groups of 3-manifolds.
Hatcher, Allen, McCullough, Darryl (1997)
Geometry & Topology
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Universal manifold pairings and positivity.
Freedman, Michael H., Kitaev, Alexei, Nayak, Chetan, Slingerland, Johannes K., Walker, Kevin, Wang, Zhenghan (2005)
Geometry & Topology
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A criterion for homeomorphism between closed Haken manifolds.
Derbez, Pierre (2003)
Algebraic & Geometric Topology
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Surgery and involutions on 4-manifolds.
Krushkal, Vyacheslav S. (2005)
Algebraic & Geometric Topology
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Genus two 3-manifolds are built from handle number one pieces.
Sedgwick, Eric (2001)
Algebraic & Geometric Topology
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Attaching handlebodies to 3-manifolds.
Lackenby, Marc (2002)
Geometry & Topology
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Complements of tori and Klein bottles in the 4-sphere that have hyperbolic structure.
Ivanšić, Dubravko, Ratcliffe, John G., Tschantz, Steven T. (2005)
Algebraic & Geometric Topology
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Orderable 3-manifold groups
Steven Boyer, Dale Rolfsen, Bert Wiest (2005)
Annales de l’institut Fourier
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We investigate the orderability properties of fundamental groups of 3-dimensional manifolds. Many 3-manifold groups support left-invariant orderings, including all compact -irreducible manifolds with positive first Betti number. For seven of the eight geometries (excluding hyperbolic) we are able to characterize which manifolds’ groups support a left-invariant or bi-invariant ordering. We also show that manifolds modelled on these geometries have virtually bi-orderable groups. The question...
On a problem of S. Ulam concerning Cartesian products
R. Fox (1947)
Fundamenta Mathematicae
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Dehn filling: A survey
C. Gordon (1998)
Banach Center Publications
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In this paper we give a brief survey of the present state of knowledge on exceptional Dehn fillings on 3-manifolds with torus boundary. For our discussion, it is necessary to first give a quick overview of what is presently known, and what is conjectured, about the structure of 3-manifolds. This is done in Section 2. In Section 3 we summarize the known bounds on the distances between various kinds of exceptional Dehn fillings, and compare these with the distances that arise in known...