18 citations · 48 across the 20 of their papers we have counts for
26 papers · 1 filter
Knot complements decomposing into prisms
Jason DeBlois, Arshia Gharagozlou, Neil R Hoffman
We describe four hyperbolic knot complements in , each of which covers a prism orbifold: the quotient of by the action of a discrete group generated by…
Mixed-platonic 3-manifolds
Eric Chesebro, Michelle Chu, Jason DeBlois +3
We introduce a class of cusped hyperbolic -manifolds that we call mixed-platonic, composed of regular ideal hyperbolic polyhedra of more than one type, which includes certain pr…
Volume and topology of bounded and closed hyperbolic 3-manifolds, II
Jason DeBlois, Peter B. Shalen
Let be a compact, orientable hyperbolic 3-manifold whose boundary is a connected totally geodesic surface of genus . If has Heegaard genus at least , then its volume…
Trigonometry of partially truncated triangles and tetrahedra
Jason DeBlois
The first main results of this note establish forms of the hyperbolic laws of cosines and sines for certain classes of quadrilaterals and pentagons in the hyperbolic plane, having…
Dehn surgery and hyperbolic knot complements without hidden symmetries
Eric Chesebro, Jason DeBlois, Neil R Hoffman +3
Neumann and Reid conjecture that there are exactly three knot complements which admit hidden symmetries. This paper establishes several results that provide evidence for the conjec…
Generic hyperbolic knot complements without hidden symmetries
Eric Chesebro, Jason DeBlois, Priyadip Mondal
We establish a pair of criteria for proving that most knot complements obtained as Dehn fillings of a given two-component hyperbolic link complement lack hidden symmetries. To do t…
The maximal injectivity radius of hyperbolic surfaces with geodesic boundary
Jason DeBlois, Kim Romanelli
We give sharp upper bounds on the injectivity radii of complete hyperbolic surfaces of finite area with some geodesic boundary components. The given bounds are over all such surfac…
Effective virtual and residual properties of some arithmetic hyperbolic 3-manifolds
Jason DeBlois, Nicholas Miller, Priyam Patel
We give an effective upper bound, for certain arithmetic hyperbolic 3-manifold groups obtained from a quadratic form construction, on the minimal index of a subgroup that embeds in…
Incompressible solvable representations of surface groups
Jason DeBlois, Daniel Gomez
The fundamental group of every surface that is not the projective plane or Klein bottle has a representation to a torsion-free group of upper-triangular matrices in SL(2,R) with no…
Bounds for several-disk packings of hyperbolic surfaces
Jason DeBlois
For any given natural number , this paper gives upper bounds on the radius of a packing of a complete hyperbolic surface of finite area by equal-radius disks in terms of the…
The local maxima of maximal injectivity radius among hyperbolic surfaces
Jason DeBlois
The function on the Teichmueller space of complete, orientable, finite-area hyperbolic surfaces of a fixed topological type that assigns to a hyperbolic surface its maximal injecti…
Hidden symmetries via hidden extensions
Eric Chesebro, Jason DeBlois
This paper introduces a new approach to finding knots and links with hidden symmetries using "hidden extensions", a class of hidden symmetries defined here. We exhibit a family of…
Explicit rank bounds for cyclic covers
Jason DeBlois
Let be a closed, orientable hyperbolic 3-manifold and a homomorphism of its fundamental group onto that is not induced by a fibration over the circle. For each…
The centered dual and the maximal injectivity radius of hyperbolic surfaces
Jason DeBlois
We give sharp upper bounds on the maximal injectivity radius of finite-area hyperbolic surfaces and use them, for each g at least 2, to identify a constant r_{g-1,2} with the prope…
The Delaunay tessellation in hyperbolic space
Jason DeBlois
The Delaunay tessellation of a locally finite subset of hyperbolic space is constructed using convex hulls in Euclidean space of one higher dimension. For finite and lattice-invari…
Rank gradients of infinite cyclic covers of 3-manifolds
Jason DeBlois, Stefan Friedl, Stefano Vidussi
Given a 3-manifold M with no spherical boundary components, and a primitive class ϕin H^1(M;Z), we show that the following are equivalent: (1) ϕis a fibered class, (2) the rank gra…
Algebraic invariants, mutation, and commensurability of link complements
Eric Chesebro, Jason DeBlois
We construct a family of hyperbolic link complements by gluing tangles along totally geodesic four-punctured spheres, then investigate the commensurability relation among its membe…
Tessellations of hyperbolic surfaces
Jason DeBlois
A finite subset S of a closed hyperbolic surface F canonically determines a "centered dual decomposition" of F: a cell structure with vertex set S, geodesic edges, and 2-cells that…
The geometry of cyclic hyperbolic polygons
Jason DeBlois
A hyperbolic polygon is defined to be cyclic, horocyclic, or equidistant if its vertices lie on a metric circle, horocycle, or a component of the equidistant locus to a hyperbolic…
Some virtually special hyperbolic 3-manifold groups
Eric Chesebro, Jason DeBlois, Henry Wilton
Let M be a complete hyperbolic 3-manifold of finite volume that admits a decomposition into right-angled ideal polyhedra. We show that M has a deformation retraction that is a virt…
Volume and topology of bounded and closed hyperbolic 3-manifolds
Jason DeBlois, Peter B. Shalen
Let N be a compact, orientable hyperbolic 3-manifold with connected, totally geodesic boundary of genus 2. If N has Heegaard genus at least 5, then its volume is greater than 6.89.…
Incompressible surfaces, hyperbolic volume, Heegaard genus and homology
Marc Culler, Jason DeBlois, Peter B. Shalen
We show that if M is a complete, finite-volume, hyperbolic 3-manifold having exactly one cusp, and if H_1(M;Z_2) has dimension at least 6, then M has volume greater than 5.06. We a…
On the doubled tetrus
Jason DeBlois
The tetrus is a sort of big brother to the tripus, W.P. Thurston's example of a compact hyperbolic 3-manifold with totally geodesic boundary. We describe a sixfold cover of the dou…
Trace fields and commensurability of link complements
Eric Chesebro, Jason DeBlois
This paper investigates the strength of the trace field as a commensurability invariant of hyperbolic 3-manifolds. We construct an infinite family of two-component hyperbolic link…