20 citations · 87 across the 32 of their papers we have counts for
38 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 …
Volumes of ideal hyperbolic drums
Eric Chesebro, Justin Lanier, Emma N. McQuire +3
Milnor computed the volumes of ideal hyperbolic prisms as part of an effort to construct 3-manifolds whose volumes are finite rational sums of the Lobachevsky function evaluated at…
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…
Surfaces in The Tesseract
Manuel Estévez, Erika Roldan, Henry Segerman
How can we visualize all the surfaces that can be made from the faces of the tesseract? In recent work, Aveni, Govc, and Roldán showed that the torus and the sphere are the only cl…
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…