This paper gives a quantitative version of Thurston¿s hyperbolic Dehn surgery theorem. Applications include the first universal bounds on the number of nonhyperbolic Dehn fillings on a cusped hyperbolic 3-manifold, and estimates on the changes in volume and core geodesic length during hyperbolic Dehn filling. The proofs involve the construction of a family of hyperbolic conemanifold structures, using infinitesimal harmonic deformations and analysis of geometric limits
It is conjectured that a hyperbolic knot admits at most three Dehn surgeries which yield closed 3-ma...
It is conjectured that a hyperbolic knot admits at most three Dehn surgeries which yield closed 3-ma...
AbstractThis paper concerns those Dehn fillings on a torally bounded 3-manifold which yield manifold...
The aim of this paper is to demonstrate that very many Dehn fillings on a cusped hyperbolic 3-manifo...
AbstractWe investigate Dehn surgery in relation to the injectivity radius of a closed hyperbolic 3-m...
Thurston’s hyperbolic Dehn surgery theorem is one of the most important results in 3-manifold theory...
In this paper we will give three infinite families of exam-ples of nonhyperbolic Dehn fillings on hy...
We show that, for any given 3-manifold M, there are at most finitely many hyperbolic knots K in the ...
© 2000 Dr. James Geoffrey DowtyThis thesis studies the hyperbolic Dehn surgery space H(M) of incompl...
Abstract. In this article we give a survey of the results that are known on Dehn surgeries on knots ...
If a closed, orientable hyperbolic 3–manifold M has volume at most 1.22 then H1.M IZp / has dimensio...
In this paper we will give three infinite families of exam-ples of nonhyperbolic Dehn fillings on hy...
If a closed, orientable hyperbolic 3–manifold M has volume at most 1.22 then H1.M IZp / has dimensio...
In the late 1970’s, Thurston dramatically changed the nature of 3-manifold theory with the introduct...
It is conjectured that a hyperbolic knot admits at most three Dehn surgeries which yield closed 3-ma...
It is conjectured that a hyperbolic knot admits at most three Dehn surgeries which yield closed 3-ma...
It is conjectured that a hyperbolic knot admits at most three Dehn surgeries which yield closed 3-ma...
AbstractThis paper concerns those Dehn fillings on a torally bounded 3-manifold which yield manifold...
The aim of this paper is to demonstrate that very many Dehn fillings on a cusped hyperbolic 3-manifo...
AbstractWe investigate Dehn surgery in relation to the injectivity radius of a closed hyperbolic 3-m...
Thurston’s hyperbolic Dehn surgery theorem is one of the most important results in 3-manifold theory...
In this paper we will give three infinite families of exam-ples of nonhyperbolic Dehn fillings on hy...
We show that, for any given 3-manifold M, there are at most finitely many hyperbolic knots K in the ...
© 2000 Dr. James Geoffrey DowtyThis thesis studies the hyperbolic Dehn surgery space H(M) of incompl...
Abstract. In this article we give a survey of the results that are known on Dehn surgeries on knots ...
If a closed, orientable hyperbolic 3–manifold M has volume at most 1.22 then H1.M IZp / has dimensio...
In this paper we will give three infinite families of exam-ples of nonhyperbolic Dehn fillings on hy...
If a closed, orientable hyperbolic 3–manifold M has volume at most 1.22 then H1.M IZp / has dimensio...
In the late 1970’s, Thurston dramatically changed the nature of 3-manifold theory with the introduct...
It is conjectured that a hyperbolic knot admits at most three Dehn surgeries which yield closed 3-ma...
It is conjectured that a hyperbolic knot admits at most three Dehn surgeries which yield closed 3-ma...
It is conjectured that a hyperbolic knot admits at most three Dehn surgeries which yield closed 3-ma...
AbstractThis paper concerns those Dehn fillings on a torally bounded 3-manifold which yield manifold...