3 papers
math.GT2025
Recognising elliptic manifolds
Marc Lackenby, Saul Schleimer
We show that the problem of deciding whether a closed three-manifold admits an elliptic structure lies in NP. Furthermore, determining the homeomorphism type of an elliptic manifol…
math.GT2025
From veering triangulations to link spaces and back again
Steven Frankel, Saul Schleimer, Henry Segerman
This paper is the third in a sequence establishing a dictionary between the combinatorics of veering triangulations equipped with appropriate filling slopes, and the dynamics of ps…
math.GT2024
Connecting essential triangulations II: via 2-3 moves only
Tejas Kalelkar, Saul Schleimer, Henry Segerman
In previous work we showed that for a manifold , whose universal cover has infinitely many boundary components, the set of essential ideal triangulations of is connected via…