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Conjugacy Distinguished Cosets in Hyperbolic -Manifold Groups
David Futer, Emily Hamilton, Neil R Hoffman
A subset of a group is \emph{conjugacy distinguished} if the union of all conjugates of is closed in the profinite topology on . We prove that if $M = \mathbb{H}^3/Γ…
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…
Infinitely many virtual geometric triangulations
David Futer, Emily Hamilton, Neil R. Hoffman
We prove that every cusped hyperbolic 3-manifold has a finite cover admitting infinitely many geometric ideal triangulations. Furthermore, every long Dehn filling of one cusp in th…