42 citations · 434 across the 64 of their papers we have counts for
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math.GT2017
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…
math.GT2017
Cusp shape and tunnel number
Vinh Dang, Jessica S. Purcell
We show that the set of cusp shapes of hyperbolic tunnel number one manifolds is dense in the Teichmuller space of the torus. A similar result holds for tunnel number n manifolds.…
math.GT2017★ 2 cited
A survey of hyperbolic knot theory
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
We survey some tools and techniques for determining geometric properties of a link complement from a link diagram. In particular, we survey the tools used to estimate geometric inv…