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- University of OklahomaUS328 papers
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6 papers · 1 filter
Non-geometric veering triangulations
Craig D. Hodgson, Ahmad Issa, Henry Segerman
Recently, Ian Agol introduced a class of "veering" ideal triangulations for mapping tori of pseudo-Anosov homeomorphisms of surfaces punctured along the singular points. These tria…
Inflations of ideal triangulations
William H. Jaco, J. Hyam Rubinstein
Starting with an ideal triangulation of the interior of a compact 3-manifold M with boundary, no component of which is a 2-sphere, we provide a construction, called an inflation of…
Topological graph clustering with thin position
Jesse Johnson
A clustering algorithm partitions a set of data points into smaller sets (clusters) such that each subset is more tightly packed than the whole. Many approaches to clustering trans…
Mapping class groups of medium distance Heegaard splittings
Jesse Johnson
We show that if the Hempel distance of a Heegaard splitting is larger than three then the mapping class group of the Heegaard splitting is isomorphic to a subgroup of the mapping c…
Finding planar surfaces in knot- and link-manifolds
William Jaco, J. Hyam Rubinstein, Eric Sedgwick
It is shown that given any link-manifold, there is an algorithm to decide if the manifold contains an embedded, essential planar surface; if it does, the algorithm will construct o…
On tunnel number one knots that are not (1,n)
Jesse Johnson, Abigail Thompson
We show that the bridge number of a bridge knot in with respect to an unknotted genus surface is bounded below by a function of the distance of the Heegaard splitting…