5 citations · 5 across the 1 of their papers we have counts for
4 papers
Hyperbolic 3-manifolds of low cusp volume
David Gabai, Robert Haraway, Robert Meyerhoff +2
We classify the complete hyperbolic 3-manifolds admitting a maximal cusp of volume at most 2.62. We use this to show that the figure-8 knot complement is the unique 1-cusped hyperb…
Random triangles on flat tori
Olivier Glorieux, Andrew Yarmola
Inspired by classical puzzles in geometry that ask about probabilities of geometric phenomena, we give an explicit formula for the probability that a random triangle on a flat toru…
Properness for circle packings and Delaunay circle patterns on complex projective structures
Jean-Marc Schlenker, Andrew Yarmola
We consider circle packings and, more generally, Delaunay circle patterns - arrangements of circles arising from a Delaunay decomposition of a finite set of points - on surfaces eq…
The Two Eyes Lemma: a linking problem for horoball necklaces
David Gabai, Robert Meyerhoff, Andrew Yarmola
In the course of our work on low-volume hyperbolic 3-manifolds, we came upon a linking problem for horoball necklaces in . A horoball necklace is a collection of sequ…