David Gabai

Publications65
h-index25
Citations3,304
Highly Influential Citations305
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Foliations and the topology of 3-manifolds
In this announcement we discuss the close relationship between the topology of 3-manifolds and the foliations that is possesses. We will introduce and state the main result, then use it and the ideas… Expand
Shrinkwrapping and the taming of hyperbolic 3-manifolds : preprint
We introduce a new technique for finding CAT(-1) surfaces in hyperbolic 3-manifolds. We use this to show that a complete hyperbolic 3-manifold with finitely generated fundamental group is… Expand
Convergence groups are Fuchsian groups
A group of homeomorphisms of the circle satisfying the "convergence property" is shown to be the restriction of a discrete group of Mobius transformations of the unit disk. This completes the proof… Expand
Foliations and the topology of 3-manifolds
Essential laminations in 3-manifolds
It is a well-established principle in manifold topology that by studying codimension-1 objects and their complementary pieces one obtains a great deal of topological and geometric information about… Expand
Surgery on knots in solid tori
IN THIS paper we investigate the topology of manifolds obtained by nontrivial surgery on a knot k in D2 x S’. In particular this work together with the work of Berge [l] yields a complete solution to… Expand
The murasugi sum is a natural geometric operation
New piperidine derivatives and in particular esters and amides of substituted (piperidinyl-4) acetic acid are used as stabilisers for polymers, especially for polyolefines.
Detecting fibred links inS3
Foliations and genera of links
IN THIS paper we define a simple geometric operation, disc decomposition, which when successfully applied to a surface R in S3 implies that R is a surface of minimal genus for the oriented link L =… Expand
Homotopy hyperbolic 3-manifolds are hyperbolic
This paper introduces a rigorous computer-assisted procedure for analyzing hyperbolic 3-manifolds. This procedure is used to complete the proof of several long-standing rigidity conjectures in… Expand
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