3 papers
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…
math.GT2025
Excluding cosmetic surgeries on hyperbolic 3-manifolds
David Futer, Jessica S. Purcell, Saul Schleimer
This paper employs knot invariants and results from hyperbolic geometry to develop a practical procedure for checking the cosmetic surgery conjecture on any given one-cusped manifo…
math.GT2025
Arithmeticity and commensurability of links in thickened surfaces
David Futer, Rose Kaplan-Kelly
The family of right-angled tiling links consists of links built from regular 4-valent tilings of constant-curvature surfaces that contain one or two types of tiles. The complements…