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math.GT2009★ 1 cited
On multiply twisted knots that are Seifert fibered or toroidal
Jessica S. Purcell
We consider knots whose diagrams have a high amount of twisting of multiple strands. By encircling twists on multiple strands with unknotted curves, we obtain a link called a gener…
math.GT2007★ 1 cited
Hyperbolic geometry of multiply twisted knots
Jessica S. Purcell
We investigate the geometry of hyperbolic knots and links whose diagrams have a high amount of twisting of multiple strands. We find information on volume and certain isotopy class…
math.GT2006★ 1 cited
Dehn filling, volume, and the Jones polynomial
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
Given a hyperbolic 3-manifold with torus boundary, we bound the change in volume under a Dehn filling where all slopes have length at least 2π. This result is applied to give expli…