6 citations · 16 across the 10 of their papers we have counts for
11 papers
Knots in circle bundles are determined by their complements
Tommaso Cremaschi, Andrew Yarmola
We resolve a case of the oriented knot complement conjecture by showing that knots in an orientable circle bundle over a genus surface are determined by their co…
Fibered 3-manifolds with unique incompressible surfaces
Tommaso Cremaschi, Andrew Yarmola
We present a family of fibered hyperbolic 3-manifolds whose fibre is the unique connected incompressible surface and the genus of can be arbitrary. Thi…
Hyperbolic 3-manifolds of low cusp volume
David Gabai, Robert Haraway, Robert Meyerhoff +2
We classify the complete hyperbolic 3-manifolds admitting a maximal cusp of volume at most 2.62. We use this to show that the figure-8 knot complement is the unique 1-cusped hyperb…
Random triangles on flat tori
Olivier Glorieux, Andrew Yarmola
Inspired by classical puzzles in geometry that ask about probabilities of geometric phenomena, we give an explicit formula for the probability that a random triangle on a flat toru…
On volumes and filling collections of multicurves
Tommaso Cremaschi, José Andrés Rodríguez Migueles, Andrew Yarmola
Let be a surface of negative Euler characteristic and consider a finite filling collection of closed curves on in minimal position. An observation of Foulon and Hasselb…
Properness for circle packings and Delaunay circle patterns on complex projective structures
Jean-Marc Schlenker, Andrew Yarmola
We consider circle packings and, more generally, Delaunay circle patterns - arrangements of circles arising from a Delaunay decomposition of a finite set of points - on surfaces eq…
The Two Eyes Lemma: a linking problem for horoball necklaces
David Gabai, Robert Meyerhoff, Andrew Yarmola
In the course of our work on low-volume hyperbolic 3-manifolds, we came upon a linking problem for horoball necklaces in . A horoball necklace is a collection of sequ…
The Bridgeman-Kahn identity for hyperbolic manifolds with cusped boundary
Nicholas G. Vlamis, Andrew Yarmola
In this note, we extend the Bridgeman-Kahn identity to all finite-volume orientable hyperbolic -manifolds with totally geodesic boundary. In the compact case, Bridgeman and Kahn…
Simple length rigidity for Kleinian surface groups and applications
Martin Bridgeman, Richard D. Canary
We prove that a Kleinian surface groups is determined, up to conjugacy in the isometry group of , by its simple marked length spectrum. As a first application, we show…
Basmajian's identity in higher Teichmüller-Thurston theory
Nicholas G. Vlamis, Andrew Yarmola
We prove an extension of Basmajian's identity to -Hitchin representations of compact bordered surfaces. For , we show that this identity has a geometric interpretation for…
An improved bound for Sullivan's convex hull theorem
Martin Bridgeman, Richard Canary, Andrew Yarmola
Sullivan showed that there exists such that if is a simply connected hyperbolic domain, then there exists a conformally natural -quasiconform…