70 citations · 429 across the 52 of their papers we have counts for
60 papers
From veering triangulations to convergence actions and back again
Jason Fox Manning, Saul Schleimer, Henry Segerman
Suppose that is a finite-volume cusped hyperbolic three-manifold, equipped with a veering triangulation . We prove that the action of the fundamental group of …
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…
Connecting essential triangulations I: via 2-3 and 0-2 moves
Tejas Kalelkar, Saul Schleimer, Henry Segerman
Suppose that is a compact, connected three-manifold with boundary. We show that if the universal cover has infinitely many boundary components then has an ideal triangulati…
From veering triangulations to dynamic pairs
Saul Schleimer, Henry Segerman
From a transverse veering triangulation (not necessarily finite) we produce a canonically associated dynamic pair of branched surfaces. As a key idea in the proof, we introduce the…
Large volume fibred knots of fixed genus
Kenneth L. Baker, David Futer, Jessica S. Purcell +1
We show that, for hyperbolic fibred knots in the three-sphere, the volume and the genus are unrelated. Furthermore, for such knots, the volume is unrelated to strong quasipositivit…
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…