1 citations · 1 across the 2 of their papers we have counts for
4 papers
The Determinant and Volume of 2-Bridge Links and Alternating 3-Braids
Stephan D. Burton
We examine the conjecture, due to Champanerkar, Kofman, and Purcell that for alternating hyperbolic links, where $\text{vol}(K) = \text{vol}(S^3\…
Geometric estimates from spanning surfaces
Stephan D. Burton, Efstratia Kalfagianni
We derive bounds on the length of the meridian and the cusp volume of hyperbolic knots in terms of the topology of essential surfaces spanned by the knot. We provide an algorithmic…
The Spectra of Volume and Determinant Densities of Links
Stephan D. Burton
The of a hyperbolic link is defined to be the ratio of the hyperbolic volume of to the crossing number of . We show that there are sequences of…
Geodesic systems of tunnels in hyperbolic 3-manifolds
Stephan D. Burton, Jessica S. Purcell
It is unknown whether an unknotting tunnel is always isotopic to a geodesic in a finite volume hyperbolic 3-manifold. In this paper, we address the generalization of this problem t…