6 citations · 16 across the 10 of their papers we have counts for
10 papers · 1 filter
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…
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…