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Foliations and the topology of 3-manifolds
- David Gabai
- Mathematics
- 1 November 1987
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…
Essential laminations in 3-manifolds
- David Gabai, U. Oertel
- Mathematics
- 1 July 1989
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…
Shrinkwrapping and the taming of hyperbolic 3-manifolds : preprint
- Danny Calegari, David Gabai
- Mathematics
- 9 July 2004
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…
Convergence groups are Fuchsian groups
- David Gabai
- Mathematics
- 1 October 1991
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…
Minimum volume cusped hyperbolic three-manifolds
- David Gabai, R. Meyerhoff, Peter Milley
- Mathematics
- 30 May 2007
This paper is the second in a series whose goal is to understand the structure of low-volume complete orientable hyperbolic 3-manifolds. Using Mom technology, we prove that any one-cusped hyperbolic…
The murasugi sum is a natural geometric operation
- David Gabai
- Chemistry
- 1983
New piperidine derivatives and in particular esters and amides of substituted (piperidinyl-4) acetic acid are used as stabilisers for polymers, especially for polyolefines.
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