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
The word problem for the mapping class group in quasi-linear time
Mark C. Bell, Saul Schleimer
We give an -time algorithm for the word problem in the mapping class group of a compact surface.