5 papers · 1 filter
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…
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…
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…