42 citations · 434 across the 64 of their papers we have counts for
4 papers · 1 filter
Jones polynomials, volume, and essential knot surfaces: a survey
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
This paper is a brief overview of recent results by the authors relating colored Jones polynomials to geometric topology. The proofs of these results appear in the papers [arXiv:10…
Guts of surfaces and the colored Jones polynomial
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild…
Volumes of chain links
James Kaiser, Jessica S. Purcell, Clint Rollins
Agol has conjectured that minimally twisted n-chain links are the smallest volume hyperbolic manifolds with n cusps, for n at most 10. In his thesis, Venzke mentions that these can…
Dehn filling and the geometry of unknotting tunnels
Daryl Cooper, David Futer, Jessica S. Purcell
Any one-cusped hyperbolic manifold M with an unknotting tunnel tau is obtained by Dehn filling a cusp of a two-cusped hyperbolic manifold. In the case where M is obtained by "gener…