25 citations · 87 across the 24 of their papers we have counts for
25 papers · 1 filter
Diffeomorphisms of Elliptic 3-Manifolds
Sungbok Hong, John Kalliongis, Darryl McCullough +1
The elliptic 3-manifolds are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature, that is, those that have finite fundamental group. The (Generaliz…
Middle tunnels by splitting
Sangbum Cho, Darryl McCullough
For a genus-1 1-bridge knot in the 3-sphere, that is, a (1,1)-knot, a middle tunnel is a tunnel that is not an upper or lower tunnel for some (1,1)-position. Most torus knots have…
Iterated splitting and the classification of knot tunnels
Sangbum Cho, Darryl McCullough
For a genus-1 1-bridge knot in the 3-sphere, that is, a (1,1)-knot, a middle tunnel is a tunnel that is not an upper or lower tunnel for some (1,1)-position. Most torus knots have…
The space of Heegaard Splittings
Jesse Johnson, Darryl McCullough
For a Heegaard surface F in a closed orientable 3-manifold M, H(M,F) = Diff(M)/Diff(M,F) is the space of Heegaard surfaces equivalent to the Heegaard splitting (M,F). Its path comp…
Semisimple tunnels
Sangbum Cho, Darryl McCullough
A knot in the 3-sphere in genus-1 1-bridge position (called a (1,1)-position) can be described by an element of the braid group of two points in the torus. Our main results tell ho…
The Smale conjecture for Seifert fibered spaces with hyperbolic base orbifold
Darryl McCullough, Teruhiko Soma
Let M be a closed orientable Seifert fibered 3-manifold with a hyperbolic base 2-orbifold, or equivalently, admitting a geometry modeled on H^2 \times R or the universal cover of S…