162 citations · 690 across the 42 of their papers we have counts for
4 papers · 2 filters
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…
Cusp geometry of fibered 3-manifolds
David Futer, Saul Schleimer
Let F be a surface and suppose that ϕ: F -> F is a pseudo-Anosov homeomorphism fixing a puncture p of F. The mapping torus M = M_ϕis hyperbolic and contains a maximal cusp C about…
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…
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…