3 papers
math.GT2026
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…
math.GT2025
An algorithm to construct one-vertex triangulations of Heegaard splittings
Alexander He, James Morgan, Em K. Thompson
Following work of Jaco and Rubinstein (2006), which (non-constructively) proved that any 3-manifold admits a one-vertex layered triangulation, we present an algorithm, with impleme…
math.GT2025
On the complexity of 2-bridge link complements
James Morgan, Jonathan Spreer
We reprove a necessary condition for the Sakuma-Weeks triangulation of a 2-bridge link complement to be minimal in terms of the mapping class describing its alternating 4-string br…