162 citations · 690 across the 42 of their papers we have counts for
Showing 2026Show all
2 papers · 1 filter
math.GT2026
The underlying manifold of a low-volume hyperbolic 3-orbifold
David Futer, Peter B. Shalen
This paper proves strong restrictions on the underlying topological space of a closed, orientable hyperbolic 3-orbifold \orbM whose volume satisfies a certain upper bound. For inst…
math.GT2026
Hyperbolic manifolds without positive spun triangulations
David Futer, Jessica S. Purcell, Saul Schleimer
Using a result of Choi, we provide the first examples of pairs consisting of a closed hyperbolic three-manifold and a simple closed geodesic, such that there is no positive spun id…