18 citations · 28 across the 11 of their papers we have counts for
15 papers
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…
Geometry for Kleinian Groups Generated by a Parabolic Pair
Eric Chesebro
This paper develops a computational framework for studying the hyperbolic geometry of 2-bridge link complements and Kleinian groups generated by two parabolic elements. The framewo…
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…
Continued fractions and lines across the Stern--Brocot diagram
Heather Abramson, Eric Chesebro, Vivian Cummins +3
This paper concerns the relationships between continued fractions and the geometry of the Stern-Brocot diagram. Each rational number can be expressed as a continued fraction $[a_0;…
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…
Farey Recursive Functions
Eric Chesebro, Cory Emlen, Kenton Ke +3
This paper introduces Farey Recursive Functions and investigates their basic properties. Farey Recursive Functions are a special type of recursive function from the rationals to a…