1 citations · 1 across the 3 of their papers we have counts for
5 papers
Lambda lengths in The figure eight knot complement
Joshua A. Howie, Dionne Ibarra, Daniel V. Mathews +1
In the complete hyperbolic structure on the complement of the figure eight knot, we determine the set of lambda lengths from the maximal cusp to itself. Using the correspondence be…
A-Polynomials of fillings of the Whitehead sister
Joshua A. Howie, Daniel V. Mathews, Jessica S. Purcell +1
Knots obtained by Dehn filling the Whitehead sister link include some of the smallest volume twisted torus knots. Here, using results on A-polynomials of Dehn fillings, we give for…
A-polynomials, Ptolemy equations and Dehn filling
Joshua A. Howie, Daniel V. Mathews, Jessica S. Purcell
The A-polynomial encodes hyperbolic geometric information on knots and related manifolds. Historically, it has been difficult to compute, and particularly difficult to determine A-…
Geometry of alternating links on surfaces
Joshua A. Howie, Jessica S. Purcell
We consider links that are alternating on surfaces embedded in a compact 3-manifold. We show that under mild restrictions, the complement of the link decomposes into simpler pieces…
A characterisation of alternating knot exteriors
Joshua Howie
We give a topological characterisation of alternating knot exteriors based on the presence of special spanning surfaces. This shows that alternating is a topological property of th…