162 citations · 690 across the 42 of their papers we have counts for
4 papers · 2 filters
Small volume link orbifolds
Christopher K. Atkinson, David Futer
This paper proves lower bounds on the volume of a hyperbolic 3-orbifold whose singular locus is a link. We identify the unique smallest volume orbifold whose singular locus is a kn…
Quasifuchsian state surfaces
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
This paper continues our study, initiated in [arXiv:1108.3370], of essential state surfaces in link complements that satisfy a mild diagrammatic hypothesis (homogeneously adequate)…
Explicit Dehn filling and Heegaard splittings
David Futer, Jessica S. Purcell
We prove an explicit, quantitative criterion that ensures the Heegaard surfaces in Dehn fillings behave "as expected." Given a cusped hyperbolic manifold X, and a Dehn filling whos…
Fiber detection for state surfaces
David Futer
Every Kauffman state σof a link diagram D(K) naturally defines a state surface S_σwhose boundary is K. For a homogeneous state σ, we show that K is a fibered link with fiber surfac…